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23201142122100 = 223524315711455657
BaseRepresentation
bin1010100011001111011111…
…10101011010011001110100
310001011000012111010021120210
411101213233311122121310
511020111414340401400
6121202242455225420
74613140634063025
oct521475765323164
9101130174107523
1023201142122100
11743560496a178
122728653678270
13cc3b209411a7
145a2d26bbac4c
152a37ace55950
hex1519efd5a674

23201142122100 has 144 divisors (see below), whose sum is σ = 69127289473088. Its totient is φ = 6004596648960.

The previous prime is 23201142122089. The next prime is 23201142122159. The reversal of 23201142122100 is 122124110232.

It is a happy number.

It is a congruent number.

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, 3702529 + ... + 7753128.

Almost surely, 223201142122100 is an apocalyptic number.

23201142122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23201142122100 is an abundant number, since it is smaller than the sum of its proper divisors (45926147350988).

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

23201142122100 is a wasteful number, since it uses less digits than its factorization.

23201142122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455874 (or 11455867 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 23201142122100 its reverse (122124110232), we get a palindrome (23323266232332).

The spelling of 23201142122100 in words is "twenty-three trillion, two hundred one billion, one hundred forty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 157 172 215 258 300 314 430 471 516 628 645 785 860 942 1075 1290 1570 1884 2150 2355 2580 3140 3225 3925 4300 4710 6450 6751 7850 9420 11775 12900 13502 15700 20253 23550 27004 33755 40506 47100 67510 81012 101265 135020 168775 202530 337550 405060 506325 675100 1012650 2025300 11455657 22911314 34366971 45822628 57278285 68733942 114556570 137467884 171834855 229113140 286391425 343669710 492593251 572782850 687339420 859174275 985186502 1145565700 1477779753 1718348550 1798538149 1970373004 2462966255 2955559506 3436697100 3597076298 4925932510 5395614447 5911119012 7194152596 7388898765 8992690745 9851865020 10791228894 12314831275 14777797530 17985381490 21582457788 24629662550 26978072235 29555595060 35970762980 36944493825 44963453725 49259325100 53956144470 73888987650 77337140407 89926907450 107912288940 134890361175 147777975300 154674280814 179853814900 232011421221 269780722350 309348561628 386685702035 464022842442 539561444700 773371404070 928045684884 1160057106105 1546742808140 1933428510175 2320114212210 3866857020350 4640228424420 5800285530525 7733714040700 11600571061050 23201142122100