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10020113232320 = 265475639118147
BaseRepresentation
bin1001000111001111110101…
…0010100011000111000000
31022110220122220211022121202
42101303331102203013000
52303132142441413240
633151102041240332
72052633514114502
oct221637522430700
938426586738552
1010020113232320
113213562772174
121159b6b7930a8
13578b7b12a819
14268d9448bd72
151259a5ac9315
hex91cfd4a31c0

10020113232320 has 112 divisors (see below), whose sum is σ = 24372590238720. Its totient is φ = 3922038887424.

The previous prime is 10020113232307. The next prime is 10020113232329. The reversal of 10020113232320 is 2323231102001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10020113232292 and 10020113232301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020113232329) 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, 84751487 + ... + 84869633.

Almost surely, 210020113232320 is an apocalyptic number.

10020113232320 is a gapful number since it is divisible by the number (10) 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 10020113232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186295119360).

10020113232320 is an abundant number, since it is smaller than the sum of its proper divisors (14352477006400).

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

10020113232320 is a wasteful number, since it uses less digits than its factorization.

10020113232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123850 (or 123840 counting only the distinct ones).

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

Adding to 10020113232320 its reverse (2323231102001), we get a palindrome (12343344334321).

The spelling of 10020113232320 in words is "ten trillion, twenty billion, one hundred thirteen million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 5639 7520 11278 15040 22556 28195 45112 56390 90224 112780 118147 180448 225560 236294 265033 360896 451120 472588 530066 590735 902240 945176 1060132 1181470 1325165 1804480 1890352 2120264 2362940 2650330 3780704 4240528 4725880 5300660 5552909 7561408 8481056 9451760 10601320 11105818 16962112 18903520 21202640 22211636 27764545 37807040 42405280 44423272 55529090 84810560 88846544 111058180 177693088 222116360 355386176 444232720 666230933 888465440 1332461866 1776930880 2664923732 3331154665 5329847464 6662309330 10659694928 13324618660 21319389856 26649237320 31312853851 42638779712 53298474640 62625707702 106596949280 125251415404 156564269255 213193898560 250502830808 313128538510 501005661616 626257077020 1002011323232 1252514154040 2004022646464 2505028308080 5010056616160 10020113232320