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102232233100332 = 22343726041327479
BaseRepresentation
bin10111001111101011001011…
…111100000100010000101100
3111101222022021002201012220000
4113033223023330010100230
5101344433103133202312
61001232501201024300
730351015016342626
oct2717531374042054
9441868232635800
10102232233100332
112a6354a043a555
12b571360025090
1345075c59120ca
141b360d0603c16
15bc4465904adc
hex5cfacbf0442c

102232233100332 has 120 divisors (see below), whose sum is σ = 274489744673760. Its totient is φ = 33155025442560.

The previous prime is 102232233100301. The next prime is 102232233100351. The reversal of 102232233100332 is 233001332232201.

102232233100332 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 223 + 3 + 100 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102232233100296 and 102232233100305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312015769 + ... + 312343247.

It is an arithmetic number, because the mean of its divisors is an integer number (2287414538948).

Almost surely, 2102232233100332 is an apocalyptic number.

102232233100332 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 102232233100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137244872336880).

102232233100332 is an abundant number, since it is smaller than the sum of its proper divisors (172257511573428).

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

102232233100332 is a wasteful number, since it uses less digits than its factorization.

102232233100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353573 (or 353562 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 102232233100332 its reverse (233001332232201), we get a palindrome (335233565332533).

The spelling of 102232233100332 in words is "one hundred two trillion, two hundred thirty-two billion, two hundred thirty-three million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 26041 52082 78123 104164 156246 234369 312492 327479 468738 654958 703107 937476 963517 982437 1309916 1406214 1927034 1964874 2109321 2812428 2890551 2947311 3854068 3929748 4218642 5781102 5894622 8437284 8671653 8841933 11562204 11789244 12116723 17343306 17683866 24233446 26014959 26525799 34686612 35367732 36350169 48466892 52029918 53051598 72700338 78044877 104059836 106103196 109050507 145400676 156089754 218101014 312179508 327151521 436202028 654303042 981454563 1308606084 1962909126 3925818252 8527880639 17055761278 25583641917 34111522556 51167283834 76750925751 102334567668 153501851502 230252777253 307003703004 315531583643 460505554506 631063167286 690758331759 921011109012 946594750929 1262126334572 1381516663518 1893189501858 2763033327036 2839784252787 3786379003716 5679568505574 8519352758361 11359137011148 17038705516722 25558058275083 34077411033444 51116116550166 102232233100332