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10132023131232 = 2531931117861213
BaseRepresentation
bin1001001101110000101110…
…1000111011110001100000
31022212121112010001012202120
42103130023220323301200
52312000340410144412
633314330454544240
72064004656423402
oct223341350736140
938777463035676
1010132023131232
113256a6aa09632
1211777a2068080
135865a4215b12
1427056d194b72
151288556d7b8c
hex9370ba3bc60

10132023131232 has 96 divisors (see below), whose sum is σ = 28086401790720. Its totient is φ = 3189298014720.

The previous prime is 10132023131189. The next prime is 10132023131239. The reversal of 10132023131232 is 23213132023101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132023131239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8363343 + ... + 9497870.

It is an arithmetic number, because the mean of its divisors is an integer number (292566685320).

Almost surely, 210132023131232 is an apocalyptic number.

10132023131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132023131232 is an abundant number, since it is smaller than the sum of its proper divisors (17954378659488).

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

10132023131232 is a wasteful number, since it uses less digits than its factorization.

10132023131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17861556 (or 17861548 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10132023131232 its reverse (23213132023101), we get a palindrome (33345155154333).

The spelling of 10132023131232 in words is "ten trillion, one hundred thirty-two billion, twenty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 311 456 608 622 912 933 1244 1824 1866 2488 3732 4976 5909 7464 9952 11818 14928 17727 23636 29856 35454 47272 70908 94544 141816 189088 283632 567264 17861213 35722426 53583639 71444852 107167278 142889704 214334556 285779408 339363047 428669112 571558816 678726094 857338224 1018089141 1357452188 1714676448 2036178282 2714904376 4072356564 5429808752 5554837243 8144713128 10859617504 11109674486 16289426256 16664511729 22219348972 32578852512 33329023458 44438697944 66658046916 88877395888 105541907617 133316093832 177754791776 211083815234 266632187664 316625722851 422167630468 533264375328 633251445702 844335260936 1266502891404 1688670521872 2533005782808 3377341043744 5066011565616 10132023131232