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132100122 = 2371119101149
BaseRepresentation
bin1111101111110…
…11000000011010
3100012120101022010
413313323000122
5232304200442
621035210350
73162555360
oct767730032
9305511263
10132100122
1168626860
12382a69b6
13214a266b
1413789630
15b8e5b9c
hex7dfb01a

132100122 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 31968000.

The previous prime is 132100099. The next prime is 132100139. The reversal of 132100122 is 221001231.

It is a junction number, because it is equal to n+sod(n) for n = 132100098 and 132100107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886504 + ... + 886652.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2132100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

132100122 is an abundant number, since it is smaller than the sum of its proper divisors (220411878).

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

132100122 is a wasteful number, since it uses less digits than its factorization.

132100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132100122 is about 11493.4817179130. The cubic root of 132100122 is about 509.2930381480.

Adding to 132100122 its reverse (221001231), we get a palindrome (353101353).

It can be divided in two parts, 1 and 32100122, that added together give a palindrome (32100123).

The spelling of 132100122 in words is "one hundred thirty-two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 101 114 133 149 154 202 209 231 266 298 303 399 418 447 462 606 627 707 798 894 1043 1111 1254 1414 1463 1639 1919 2086 2121 2222 2831 2926 3129 3278 3333 3838 4242 4389 4917 5662 5757 6258 6666 7777 8493 8778 9834 11473 11514 13433 15049 15554 16986 19817 21109 22946 23331 26866 30098 31141 34419 39634 40299 42218 45147 46662 59451 62282 63327 68838 80598 90294 93423 105343 118902 126654 147763 165539 186846 210686 217987 285931 295526 316029 331078 435974 443289 496617 571862 632058 653961 857793 886578 993234 1158773 1307922 1715586 2001517 2317546 3145241 3476319 4003034 6004551 6290482 6952638 9435723 12009102 18871446 22016687 44033374 66050061 132100122