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220010111012100 = 2235224171048728933
BaseRepresentation
bin110010000001100100011000…
…100000111000110100000100
31001211222202112220202012022210
4302001210120200320310010
5212314121201404341400
62055531125533423420
764225130435460003
oct6201443040706404
91054882486665283
10220010111012100
1164113845018432
122081352503ab70
13959bb3125acc6
143c48790a60c3a
151a67e7b910950
hexc81918838d04

220010111012100 has 144 divisors (see below), whose sum is σ = 636908694484608. Its totient is φ = 58637470402560.

The previous prime is 220010111012011. The next prime is 220010111012137. The reversal of 220010111012100 is 1210111010022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7604109234 + ... + 7604138166.

It is an arithmetic number, because the mean of its divisors is an integer number (4422977045032).

Almost surely, 2220010111012100 is an apocalyptic number.

220010111012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010111012100 is an abundant number, since it is smaller than the sum of its proper divisors (416898583472508).

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

220010111012100 is a wasteful number, since it uses less digits than its factorization.

220010111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41854 (or 41847 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 220010111012100 its reverse (1210111010022), we get a palindrome (221220222022122).

The spelling of 220010111012100 in words is "two hundred twenty trillion, ten billion, one hundred eleven million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2417 4834 7251 9668 10487 12085 14502 20974 24170 28933 29004 31461 36255 41948 48340 52435 57866 60425 62922 72510 86799 104870 115732 120850 125844 144665 145020 157305 173598 181275 209740 241700 262175 289330 314610 347196 362550 433995 524350 578660 629220 723325 725100 786525 867990 1048700 1446650 1573050 1735980 2169975 2893300 3146100 4339950 8679900 25347079 50694158 69931061 76041237 101388316 126735395 139862122 152082474 209793183 253470790 279724244 303420371 304164948 349655305 380206185 419586366 506941580 606840742 633676975 699310610 760412370 839172732 910261113 1048965915 1213681484 1267353950 1398621220 1517101855 1520824740 1748276525 1820522226 1901030925 2097931830 2534707900 3034203710 3496553050 3641044452 3802061850 4195863660 4551305565 5244829575 6068407420 6993106100 7585509275 7604123700 9102611130 10489659150 15171018550 18205222260 20979318300 22756527825 30342037100 45513055650 91026111300 733367036707 1466734073414 2200101110121 2933468146828 3666835183535 4400202220242 7333670367070 8800404440484 11000505550605 14667340734140 18334175917675 22001011101210 36668351835350 44002022202420 55002527753025 73336703670700 110005055506050 220010111012100