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132215523200112 = 243113491913937489
BaseRepresentation
bin11110000011111111010011…
…010010110100110001110000
3122100010200101010210002112210
4132003333103102310301300
5114312204342414400422
61145110550045052120
736564153630164652
oct3603772322646160
9570120333702483
10132215523200112
1139145319aa4210
12129b4307257040
1358a0b411a0721
1424913a06286d2
15104436870c10c
hex783fd34b4c70

132215523200112 has 160 divisors (see below), whose sum is σ = 373704518880000. Its totient is φ = 39947356753920.

The previous prime is 132215523200107. The next prime is 132215523200143. The reversal of 132215523200112 is 211002325512231.

It is a self number, because there is not a number n which added to its sum of digits gives 132215523200112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3526763064 + ... + 3526800552.

It is an arithmetic number, because the mean of its divisors is an integer number (2335653243000).

Almost surely, 2132215523200112 is an apocalyptic number.

132215523200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132215523200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186852259440000).

132215523200112 is an abundant number, since it is smaller than the sum of its proper divisors (241488995679888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132215523200112 is a wasteful number, since it uses less digits than its factorization.

132215523200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56999 (or 56993 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 132215523200112 its reverse (211002325512231), we get a palindrome (343217848712343).

The spelling of 132215523200112 in words is "one hundred thirty-two trillion, two hundred fifteen billion, five hundred twenty-three million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 349 528 698 1047 1396 2094 2792 3839 4188 5584 7678 8376 11517 15356 16752 19139 23034 30712 37489 38278 46068 57417 61424 74978 76556 92136 112467 114834 149956 153112 184272 210529 224934 229668 299912 306224 412379 421058 449868 459336 599824 631587 824758 842116 899736 918672 1237137 1263174 1649516 1684232 1799472 2474274 2526348 3299032 3368464 4948548 5052696 6598064 6679511 9897096 10105392 13083661 13359022 19794192 20038533 26167322 26718044 39250983 40077066 52334644 53436088 73474621 78501966 80154132 104669288 106872176 143920271 146949242 157003932 160308264 209338576 220423863 287840542 293898484 314007864 320616528 431760813 440847726 575681084 587796968 628015728 717501971 863521626 881695452 1151362168 1175593936 1435003942 1727043252 1763390904 2152505913 2302724336 2870007884 3454086504 3526781808 4305011826 5740015768 6908173008 7892521681 8610023652 11480031536 15785043362 17220047304 23677565043 31570086724 34440094608 47355130086 63140173448 94710260172 126280346896 189420520344 250408187879 378841040688 500816375758 751224563637 1001632751516 1502449127274 2003265503032 2754490066669 3004898254548 4006531006064 5508980133338 6009796509096 8263470200007 11017960266676 12019593018192 16526940400014 22035920533352 33053880800028 44071841066704 66107761600056 132215523200112