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4312012100100 = 22352472331312517
BaseRepresentation
bin111110101111110111111…
…100110001001000000100
3120021020001112111122020120
4332233313330301020010
51031122000044200400
613100524440101540
7623350452046455
oct76576774611004
916236045448216
104312012100100
111412794464521
125978441648b0
1325380c437583
1410c9b992d12c
1577272ec9ca0
hex3ebf7f31204

4312012100100 has 144 divisors (see below), whose sum is σ = 12796231488768. Its totient is φ = 1120573660160.

The previous prime is 4312012100083. The next prime is 4312012100101. The reversal of 4312012100100 is 10012102134.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4312012100100.

It is not an unprimeable number, because it can be changed into a prime (4312012100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2629042 + ... + 3941558.

It is an arithmetic number, because the mean of its divisors is an integer number (88862718672).

Almost surely, 24312012100100 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 4312012100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398115744384).

4312012100100 is an abundant number, since it is smaller than the sum of its proper divisors (8484219388668).

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

4312012100100 is a wasteful number, since it uses less digits than its factorization.

4312012100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312814 (or 1312807 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 4312012100100 its reverse (10012102134), we get a palindrome (4322024202234).

The spelling of 4312012100100 in words is "four trillion, three hundred twelve billion, twelve million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 233 235 282 300 466 470 564 699 705 932 940 1165 1175 1398 1410 2330 2350 2796 2820 3495 3525 4660 4700 5825 6990 7050 10951 11650 13980 14100 17475 21902 23300 32853 34950 43804 54755 65706 69900 109510 131412 164265 219020 273775 328530 547550 657060 821325 1095100 1312517 1642650 2625034 3285300 3937551 5250068 6562585 7875102 13125170 15750204 19687755 26250340 32812925 39375510 61688299 65625850 78751020 98438775 123376598 131251700 185064897 196877550 246753196 305816461 308441495 370129794 393755100 611632922 616882990 740259588 917449383 925324485 1223265844 1233765980 1529082305 1542207475 1834898766 1850648970 3058164610 3084414950 3669797532 3701297940 4587246915 4626622425 6116329220 6168829900 7645411525 9174493830 9253244850 14373373667 15290823050 18348987660 18506489700 22936234575 28746747334 30581646100 43120121001 45872469150 57493494668 71866868335 86240242002 91744938300 143733736670 172480484004 215600605005 287467473340 359334341675 431201210010 718668683350 862402420020 1078003025025 1437337366700 2156006050050 4312012100100