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331031001132 = 22321329127192053
BaseRepresentation
bin1001101000100101111…
…11000011100000101100
31011122110010020012210100
410310102333003200230
520410422414014012
6412023515111100
732626154040366
oct4642277034054
91148403205710
10331031001132
11118431408787
12541a5742490
13252a6996740
1412044487d36
158926a8e8dc
hex4d12fc382c

331031001132 has 144 divisors (see below), whose sum is σ = 939558896640. Its totient is φ = 97568561664.

The previous prime is 331031001097. The next prime is 331031001143. The reversal of 331031001132 is 231100130133.

It is a happy number.

331031001132 is a `hidden beast` number, since 3 + 310 + 310 + 0 + 11 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1627618 + ... + 1819670.

It is an arithmetic number, because the mean of its divisors is an integer number (6524714560).

Almost surely, 2331031001132 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 331031001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469779448320).

331031001132 is an abundant number, since it is smaller than the sum of its proper divisors (608527895508).

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

331031001132 is a wasteful number, since it uses less digits than its factorization.

331031001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192232 (or 192227 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331031001132 its reverse (231100130133), we get a palindrome (562131131265).

The spelling of 331031001132 in words is "three hundred thirty-one billion, thirty-one million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 127 156 174 234 254 261 348 377 381 468 508 522 754 762 1044 1131 1143 1508 1524 1651 2262 2286 3302 3393 3683 4524 4572 4953 6604 6786 7366 9906 11049 13572 14732 14859 19812 22098 29718 33147 44196 47879 59436 66294 95758 132588 143637 191516 192053 287274 384106 430911 574548 576159 768212 861822 1152318 1723644 1728477 2304636 2496689 3456954 4993378 5569537 6913908 7490067 9986756 11139074 14980134 16708611 22278148 22470201 24390731 29960268 33417222 44940402 48781462 50125833 66834444 72403981 73172193 89880804 97562924 100251666 144807962 146344386 200503332 217211943 219516579 289615924 292688772 317079503 434423886 439033158 634159006 651635829 707331199 868847772 878066316 951238509 1268318012 1303271658 1414662398 1902477018 2121993597 2606543316 2829324796 2853715527 3804954036 4243987194 5707431054 6365980791 8487974388 9195305587 11414862108 12731961582 18390611174 25463923164 27585916761 36781222348 55171833522 82757750283 110343667044 165515500566 331031001132