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102032131230 = 23251991964927
BaseRepresentation
bin101111100000110010…
…1101100010010011110
3100202100210110022020100
41133001211230102132
53132430211144410
6114512314401530
710241310543231
oct1370145542236
9322323408210
10102032131230
113a2a95293a7
12179364302a6
139810826b63
144d1ccc1418
1529c28478c0
hex17c196c49e

102032131230 has 96 divisors (see below), whose sum is σ = 279553996800. Its totient is φ = 25748093376.

The previous prime is 102032131193. The next prime is 102032131231. The reversal of 102032131230 is 32131230201.

102032131230 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 321 + 312 + 30 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539027 + ... + 1603953.

It is an arithmetic number, because the mean of its divisors is an integer number (2912020800).

Almost surely, 2102032131230 is an apocalyptic number.

102032131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102032131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776998400).

102032131230 is an abundant number, since it is smaller than the sum of its proper divisors (177521865570).

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

102032131230 is a wasteful number, since it uses less digits than its factorization.

102032131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65878 (or 65875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102032131230 its reverse (32131230201), we get a palindrome (134163361431).

The spelling of 102032131230 in words is "one hundred two billion, thirty-two million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 919 1710 1838 2757 4595 5514 8271 9190 13785 16542 17461 27570 34922 41355 52383 64927 82710 87305 104766 129854 157149 174610 194781 261915 314298 324635 389562 523830 584343 649270 785745 973905 1168686 1233613 1571490 1947810 2467226 2921715 3700839 5843430 6168065 7401678 11102517 12336130 18504195 22205034 37008390 55512585 59667913 111025170 119335826 179003739 298339565 358007478 537011217 596679130 895018695 1074022434 1133690347 1790037390 2267380694 2685056085 3401071041 5370112170 5668451735 6802142082 10203213123 11336903470 17005355205 20406426246 34010710410 51016065615 102032131230