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132290001104 = 242979127157181
BaseRepresentation
bin111101100110100011…
…0010011100011010000
3110122110111222100120112
41323031012103203100
54131412220013404
6140435001500452
712362161312262
oct1731506234320
9418414870515
10132290001104
1151116290928
122177b7a1728
13c623458781
14658d693b32
153693e0c56e
hex1ecd1938d0

132290001104 has 160 divisors (see below), whose sum is σ = 273849139200. Its totient is φ = 61817333760.

The previous prime is 132290001037. The next prime is 132290001119. The reversal of 132290001104 is 401100092231.

It is a self number, because there is not a number n which added to its sum of digits gives 132290001104.

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, 730883894 + ... + 730884074.

It is an arithmetic number, because the mean of its divisors is an integer number (1711557120).

Almost surely, 2132290001104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132290001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136924569600).

132290001104 is an abundant number, since it is smaller than the sum of its proper divisors (141559138096).

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

132290001104 is a wasteful number, since it uses less digits than its factorization.

132290001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 132290001104 its reverse (401100092231), we get a palindrome (533390093335).

The spelling of 132290001104 in words is "one hundred thirty-two billion, two hundred ninety million, one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 79 116 127 157 158 181 232 254 314 316 362 464 508 628 632 724 1016 1256 1264 1448 2032 2291 2512 2896 3683 4553 4582 5249 7366 9106 9164 10033 10498 12403 14299 14732 18212 18328 19939 20066 20996 22987 24806 28417 28598 29464 36424 36656 39878 40132 41992 45974 49612 56834 57196 58928 72848 79756 80264 83984 91948 99224 113668 114392 159512 160528 183896 198448 227336 228784 290957 319024 359687 367792 414671 454672 578231 581914 666623 719374 824093 829342 1156462 1163828 1333246 1438748 1575181 1648186 1658684 1815973 2244943 2312924 2327656 2666492 2877496 3150362 3296372 3317368 3608959 3631946 4489886 4625848 4655312 5332984 5754992 6300724 6592744 6634736 7217918 7263892 8979772 9251696 10665968 12601448 13185488 14435836 14527784 17959544 25202896 28871672 29055568 35919088 45680249 52663217 57743344 65103347 91360498 104659811 105326434 130206694 182720996 209319622 210652868 260413388 285107761 365441992 418639244 421305736 520826776 570215522 730883984 837278488 842611472 1041653552 1140431044 1674556976 2280862088 4561724176 8268125069 16536250138 33072500276 66145000552 132290001104