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132010033224 = 233178310337847
BaseRepresentation
bin111101011110001101…
…0010100000001001000
3110121202000011111211210
41322330122110001020
54130324032030344
6140351121053120
712352221524346
oct1727432240110
9417660144753
10132010033224
1150a92249913
1221701a871a0
13c5aa4528c4
146564416996
153679558db9
hex1ebc694048

132010033224 has 128 divisors (see below), whose sum is σ = 357091338240. Its totient is φ = 40517624832.

The previous prime is 132010033213. The next prime is 132010033231. The reversal of 132010033224 is 422330010231.

It is a self number, because there is not a number n which added to its sum of digits gives 132010033224.

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, 3469069 + ... + 3506915.

It is an arithmetic number, because the mean of its divisors is an integer number (2789776080).

Almost surely, 2132010033224 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 132010033224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178545669120).

132010033224 is an abundant number, since it is smaller than the sum of its proper divisors (225081305016).

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

132010033224 is a wasteful number, since it uses less digits than its factorization.

132010033224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38059 (or 38055 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132010033224 its reverse (422330010231), we get a palindrome (554340043455).

The spelling of 132010033224 in words is "one hundred thirty-two billion, ten million, thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 103 136 166 204 206 249 309 332 408 412 498 618 664 824 996 1236 1411 1751 1992 2472 2822 3502 4233 5253 5644 7004 8466 8549 10506 11288 14008 16932 17098 21012 25647 33864 34196 37847 42024 51294 68392 75694 102588 113541 145333 151388 205176 227082 290666 302776 435999 454164 581332 643399 871998 908328 1162664 1286798 1743996 1930197 2573596 3141301 3487992 3860394 3898241 5147192 6282602 7720788 7796482 9423903 11694723 12565204 15441576 15592964 18847806 23389446 25130408 31185928 37695612 46778892 53402117 66270097 75391224 93557784 106804234 132540194 160206351 198810291 213608468 265080388 320412702 323554003 397620582 427216936 530160776 640825404 647108006 795241164 970662009 1281650808 1294216012 1590482328 1941324018 2588432024 3882648036 5500418051 7765296072 11000836102 16501254153 22001672204 33002508306 44003344408 66005016612 132010033224