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20021012012100 = 22352116419464857
BaseRepresentation
bin1001000110101100000010…
…10011110001110001000100
32121212222201202021022112010
410203112001103301301010
510111011013033341400
6110325305334254220
74134320225126241
oct443260123616104
977788652238463
1020021012012100
1164199553747a0
1222b42584b7370
13b22c865431a8
144d3044ada5c8
1524abd48a7450
hex1235814f1c44

20021012012100 has 144 divisors (see below), whose sum is σ = 63292186915776. Its totient is φ = 4846006272000.

The previous prime is 20021012012063. The next prime is 20021012012101. The reversal of 20021012012100 is 121021012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20021012012101) 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, 2617129 + ... + 6847728.

It is an arithmetic number, because the mean of its divisors is an integer number (439529075804).

Almost surely, 220021012012100 is an apocalyptic number.

20021012012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021012012100 is an abundant number, since it is smaller than the sum of its proper divisors (43271174903676).

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

20021012012100 is a wasteful number, since it uses less digits than its factorization.

20021012012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465526 (or 9465519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021012012100 its reverse (121021012002), we get a palindrome (20142033024102).

The spelling of 20021012012100 in words is "twenty trillion, twenty-one billion, twelve million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 641 660 825 1100 1282 1650 1923 2564 3205 3300 3846 6410 7051 7692 9615 12820 14102 16025 19230 21153 28204 32050 35255 38460 42306 48075 64100 70510 84612 96150 105765 141020 176275 192300 211530 352550 423060 528825 705100 1057650 2115300 9464857 18929714 28394571 37859428 47324285 56789142 94648570 104113427 113578284 141972855 189297140 208226854 236621425 283945710 312340281 416453708 473242850 520567135 567891420 624680562 709864275 946485700 1041134270 1249361124 1419728550 1561701405 2082268540 2602835675 2839457100 3123402810 5205671350 6066973337 6246805620 7808507025 10411342700 12133946674 15617014050 18200920011 24267893348 30334866685 31234028100 36401840022 60669733370 66736706707 72803680044 91004600055 121339466740 133473413414 151674333425 182009200110 200210120121 266946826828 303348666850 333683533535 364018400220 400420240242 455023000275 606697333700 667367067070 800840480484 910046000550 1001050600605 1334734134140 1668417667675 1820092001100 2002101201210 3336835335350 4004202402420 5005253003025 6673670670700 10010506006050 20021012012100