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102032014331000 = 23531331253181177
BaseRepresentation
bin10111001100110000101101…
…111110000100110001111000
3111101021011110111202220021202
4113030300231332010301320
5101333143031132043000
61001000505453553332
730330366301026305
oct2714605576046170
9441234414686252
10102032014331000
112a568597136756
12b53a5a31a5848
1344c1768196730
141b2a5394560ac
15bbe148169dd5
hex5ccc2df84c78

102032014331000 has 128 divisors (see below), whose sum is σ = 265414892520960. Its totient is φ = 36458089344000.

The previous prime is 102032014330991. The next prime is 102032014331021. The reversal of 102032014331000 is 133410230201.

It is a super-2 number, since 2×1020320143310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 126187589 + ... + 126993588.

It is an arithmetic number, because the mean of its divisors is an integer number (2073553847820).

Almost surely, 2102032014331000 is an apocalyptic number.

102032014331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032014331000 is an abundant number, since it is smaller than the sum of its proper divisors (163382878189960).

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

102032014331000 is a wasteful number, since it uses less digits than its factorization.

102032014331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253181242 (or 253181228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102032014331000 its reverse (133410230201), we get a palindrome (102165424561201).

The spelling of 102032014331000 in words is "one hundred two trillion, thirty-two billion, fourteen million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 125 130 155 200 248 250 260 310 325 403 500 520 620 650 775 806 1000 1240 1300 1550 1612 1625 2015 2600 3100 3224 3250 3875 4030 6200 6500 7750 8060 10075 13000 15500 16120 20150 31000 40300 50375 80600 100750 201500 403000 253181177 506362354 1012724708 1265905885 2025449416 2531811770 3291355301 5063623540 6329529425 6582710602 7848616487 10127247080 12659058850 13165421204 15697232974 16456776505 25318117700 26330842408 31394465948 31647647125 32913553010 39243082435 50636235400 62788931896 63295294250 65827106020 78486164870 82283882525 102032014331 126590588500 131654212040 156972329740 164567765050 196215412175 204064028662 253181177000 313944659480 329135530100 392430824350 408128057324 411419412625 510160071655 658271060200 784861648700 816256114648 822838825250 981077060875 1020320143310 1569723297400 1645677650500 1962154121750 2040640286620 2550800358275 3291355301000 3924308243500 4081280573240 5101600716550 7848616487000 10203201433100 12754001791375 20406402866200 25508003582750 51016007165500 102032014331000