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132202103100 = 223521746355987
BaseRepresentation
bin111101100011111011…
…1000000000100111100
3110122020101120200011220
41323013313000010330
54131222214244400
6140422141513340
712360043223004
oct1730767000474
9418211520156
10132202103100
1151080705851
1221756272850
13c60b191512
146581b33004
15368b3487a0
hex1ec7dc013c

132202103100 has 144 divisors (see below), whose sum is σ = 405887021568. Its totient is φ = 33107880960.

The previous prime is 132202103093. The next prime is 132202103107. The reversal of 132202103100 is 1301202231.

It is an interprime number because it is at equal distance from previous prime (132202103093) and next prime (132202103107).

It is a super-2 number, since 2×1322021031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132202103100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202103107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2333307 + ... + 2389293.

It is an arithmetic number, because the mean of its divisors is an integer number (2818659872).

Almost surely, 2132202103100 is an apocalyptic number.

132202103100 is a gapful number since it is divisible by the number (10) 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 132202103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202943510784).

132202103100 is an abundant number, since it is smaller than the sum of its proper divisors (273684918468).

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

132202103100 is a wasteful number, since it uses less digits than its factorization.

132202103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56484 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132202103100 its reverse (1301202231), we get a palindrome (133503305331).

The spelling of 132202103100 in words is "one hundred thirty-two billion, two hundred two million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 463 510 850 926 1020 1275 1389 1700 1852 2315 2550 2778 4630 5100 5556 6945 7871 9260 11575 13890 15742 23150 23613 27780 31484 34725 39355 46300 47226 55987 69450 78710 94452 111974 118065 138900 157420 167961 196775 223948 236130 279935 335922 393550 472260 559870 590325 671844 787100 839805 951779 1119740 1180650 1399675 1679610 1903558 2361300 2799350 2855337 3359220 3807116 4199025 4758895 5598700 5710674 8398050 9517790 11421348 14276685 16796100 19035580 23794475 25921981 28553370 47588950 51843962 57106740 71383425 77765943 95177900 103687924 129609905 142766850 155531886 259219810 285533700 311063772 388829715 440673677 518439620 648049525 777659430 881347354 1296099050 1322021031 1555318860 1762694708 1944148575 2203368385 2592198100 2644042062 3888297150 4406736770 5288084124 6610105155 7776594300 8813473540 11016841925 13220210310 22033683850 26440420620 33050525775 44067367700 66101051550 132202103100