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211220022200110 = 257111979182752643
BaseRepresentation
bin110000000001101001111110…
…011001001000011100101110
31000200212102210111212120110021
4300001221332121020130232
5210141112101140400420
62025121045540232354
762330100024403330
oct6001517631103456
91020772714776407
10211220022200110
11613349aa045780
121b833a3209b6ba
1390b1c68b80691
143a231644a1450
1519644b68717aa
hexc01a7e64872e

211220022200110 has 128 divisors (see below), whose sum is σ = 505274510131200. Its totient is φ = 61580330248320.

The previous prime is 211220022200041. The next prime is 211220022200269. The reversal of 211220022200110 is 11002220022112.

It is a happy number.

It is a super-2 number, since 2×2112200222001102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90220552 + ... + 92532091.

It is an arithmetic number, because the mean of its divisors is an integer number (3947457110400).

Almost surely, 2211220022200110 is an apocalyptic number.

211220022200110 is an abundant number, since it is smaller than the sum of its proper divisors (294054487931090).

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

211220022200110 is a wasteful number, since it uses less digits than its factorization.

211220022200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182752766.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211220022200110 its reverse (11002220022112), we get a palindrome (222222242222222).

The spelling of 211220022200110 in words is "two hundred eleven trillion, two hundred twenty billion, twenty-two million, two hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 79 95 110 133 154 158 190 209 266 385 395 418 553 665 770 790 869 1045 1106 1330 1463 1501 1738 2090 2765 2926 3002 4345 5530 6083 7315 7505 8690 10507 12166 14630 15010 16511 21014 30415 33022 52535 60830 82555 105070 115577 165110 231154 577885 1155770 182752643 365505286 913763215 1279268501 1827526430 2010279073 2558537002 3472300217 4020558146 6396342505 6944600434 10051395365 12792685010 14071953511 14437458797 17361501085 20102790730 24306101519 28143907022 28874917594 34723002170 38195302387 48612203038 70359767555 72187293985 76390604774 101062211579 121530507595 140719535110 144374587970 158812046767 190976511935 202124423158 243061015190 267367116709 274311717143 317624093534 381953023870 505311057895 534734233418 548623434286 794060233835 1010622115790 1111684327369 1336835583545 1371558585715 1588120467670 1920182020001 2223368654738 2673671167090 2743117171430 3017428888573 3840364040002 5558421636845 6034857777146 9600910100005 11116843273690 15087144442865 19201820200010 21122002220011 30174288885730 42244004440022 105610011100055 211220022200110