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22114322121320 = 235111331124714201
BaseRepresentation
bin1010000011100111001000…
…10100001000001001101000
32220022002221010112211211022
411001303210110020021220
510344310112430340240
6115011102422552012
74441464342356132
oct501634424101150
986262833484738
1022114322121320
1170566a4355720
122591aa1898608
13c454aa60b330
145664a5d36052
1528539e60e9b5
hex141ce4508268

22114322121320 has 128 divisors (see below), whose sum is σ = 60341719495680. Its totient is φ = 7183537920000.

The previous prime is 22114322121319. The next prime is 22114322121329. The reversal of 22114322121320 is 2312122341122.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22114322121320.

It is not an unprimeable number, because it can be changed into a prime (22114322121329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62179781 + ... + 62534420.

It is an arithmetic number, because the mean of its divisors is an integer number (471419683560).

Almost surely, 222114322121320 is an apocalyptic number.

22114322121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22114322121320 is an abundant number, since it is smaller than the sum of its proper divisors (38227397374360).

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

22114322121320 is a wasteful number, since it uses less digits than its factorization.

22114322121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124714267 (or 124714263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 22114322121320 its reverse (2312122341122), we get a palindrome (24426444462442).

The spelling of 22114322121320 in words is "twenty-two trillion, one hundred fourteen billion, three hundred twenty-two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 806 1144 1240 1364 1430 1612 1705 2015 2728 2860 3224 3410 4030 4433 5720 6820 8060 8866 13640 16120 17732 22165 35464 44330 88660 177320 124714201 249428402 498856804 623571005 997713608 1247142010 1371856211 1621284613 2494284020 2743712422 3242569226 3866140231 4988568040 5487424844 6485138452 6859281055 7732280462 8106423065 10974849688 12970276904 13718562110 15464560924 16212846130 17834130743 19330701155 27437124220 30929121848 32425692260 35668261486 38661402310 42527542541 50259823003 54874248440 64851384520 71336522972 77322804620 85055085082 89170653715 100519646006 142673045944 154645609240 170110170164 178341307430 201039292012 212637712705 251299115015 340220340328 356682614860 402078584024 425275425410 502598230030 552858053033 713365229720 850550850820 1005196460060 1105716106066 1701101701640 2010392920120 2211432212132 2764290265165 4422864424264 5528580530330 11057161060660 22114322121320