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21121504552232 = 23719283540712973
BaseRepresentation
bin1001100110101101110111…
…10001101010010100101000
32202210012021222010201021222
410303112323301222110220
510232023320131132412
6112531030224521212
74306656400310660
oct463267361522450
982705258121258
1021121504552232
116803641757447
1224515a5180208
13ba2998390c16
145304017771a0
152696436eb072
hex1335bbc6a528

21121504552232 has 128 divisors (see below), whose sum is σ = 47823367987200. Its totient is φ = 8543106816768.

The previous prime is 21121504552231. The next prime is 21121504552259. The reversal of 21121504552232 is 23225540512112.

It is a super-2 number, since 2×211215045522322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121504552192 and 21121504552201.

It is not an unprimeable number, because it can be changed into a prime (21121504552231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1628106098 + ... + 1628119070.

It is an arithmetic number, because the mean of its divisors is an integer number (373620062400).

Almost surely, 221121504552232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121504552232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23911683993600).

21121504552232 is an abundant number, since it is smaller than the sum of its proper divisors (26701863434968).

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

21121504552232 is a wasteful number, since it uses less digits than its factorization.

21121504552232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18695 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 21121504552232 in words is "twenty-one trillion, one hundred twenty-one billion, five hundred four million, five hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 283 532 566 1064 1132 1981 2264 3962 5377 5407 7924 10754 10814 12973 15848 21508 21628 25946 37639 37849 43016 43256 51892 75278 75698 90811 102733 103784 150556 151396 181622 205466 246487 301112 302792 363244 410932 492974 719131 726488 821864 985948 1438262 1530181 1725409 1971896 2876524 3060362 3450818 3671359 5753048 6120724 6901636 7342718 10711267 12241448 13803272 14685436 21422534 25699513 29073439 29370872 42845068 51399026 58146878 69755821 70145011 85690136 102798052 116293756 139511642 140290022 203514073 205596104 232587512 279023284 280580044 407028146 488290747 491015077 558046568 561160088 814056292 976581494 982030154 1332755209 1628112584 1953162988 1964060308 2665510418 3906325976 3928120616 5331020836 9329286463 10662041672 18658572926 19851038113 37317145852 39702076226 74634291704 79404152452 138957266791 158808304904 277914533582 377169724147 555829067164 754339448294 1111658134328 1508678896588 2640188069029 3017357793176 5280376138058 10560752276116 21121504552232