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22103200320102 = 232113311225127529
BaseRepresentation
bin1010000011010010011010…
…11001110100101001100110
32220021001020000220210201200
411001221031121310221212
510344114323240220402
6115002023044103330
74440621623540526
oct501511531645146
986231200823650
1022103200320102
117051a07395870
12258b8b9094b46
13c444273a8c75
14565b2cbdb686
15284e4d01121c
hex141a4d674a66

22103200320102 has 96 divisors (see below), whose sum is σ = 52407945682560. Its totient is φ = 6676916400000.

The previous prime is 22103200320101. The next prime is 22103200320143. The reversal of 22103200320102 is 20102300230122.

22103200320102 is a `hidden beast` number, since 2 + 2 + 10 + 320 + 0 + 320 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103200320101) 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, 802892274 + ... + 802919802.

It is an arithmetic number, because the mean of its divisors is an integer number (545916100860).

Almost surely, 222103200320102 is an apocalyptic number.

22103200320102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22103200320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26203972841280).

22103200320102 is an abundant number, since it is smaller than the sum of its proper divisors (30304745362458).

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

22103200320102 is a wasteful number, since it uses less digits than its factorization.

22103200320102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40130 (or 40127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22103200320102 its reverse (20102300230122), we get a palindrome (42205500550224).

The spelling of 22103200320102 in words is "twenty-two trillion, one hundred three billion, two hundred million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 331 662 993 1986 2979 3641 5958 7282 10923 12251 21846 24502 27529 32769 36753 55058 65538 73506 82587 110259 134761 165174 220518 247761 269522 302819 404283 495522 605638 808566 908457 1212849 1816914 2425698 2725371 4055081 5450742 8110162 9112099 12165243 18224198 24330486 27336297 36495729 44605891 54672594 72991458 82008891 89211782 100233089 133817673 164017782 200466178 267635346 300699267 337257779 401453019 601398534 674515558 802906038 902097801 1011773337 1804195602 2023546674 3035320011 3709835569 6070640022 7419671138 11129506707 22259013414 33388520121 66777040242 111632324849 223264649698 334896974547 669793949094 1004690923641 1227955573339 2009381847282 2455911146678 3683866720017 7367733440034 11051600160051 22103200320102