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10221323219976 = 23311170272273867
BaseRepresentation
bin1001010010111101011001…
…0101101111010000001000
31100012011000120220202010210
42110233112111233100020
52314431232221014401
633423335553441120
72103315626565351
oct224572625572010
940164016822123
1010221323219976
113290925540a70
121190b645701a0
13591b3602a20b
14274a0113cd28
1512ad303ad4d6
hex94bd656f408

10221323219976 has 64 divisors (see below), whose sum is σ = 27877985498880. Its totient is φ = 3097187401280.

The previous prime is 10221323219951. The next prime is 10221323219977. The reversal of 10221323219976 is 67991232312201.

It is not an unprimeable number, because it can be changed into a prime (10221323219977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3358195 + ... + 5632061.

It is an arithmetic number, because the mean of its divisors is an integer number (435593523420).

Almost surely, 210221323219976 is an apocalyptic number.

It is an amenable number.

10221323219976 is an abundant number, since it is smaller than the sum of its proper divisors (17656662278904).

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

10221323219976 is a wasteful number, since it uses less digits than its factorization.

10221323219976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290914 (or 2290910 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 10221323219976 in words is "ten trillion, two hundred twenty-one billion, three hundred twenty-three million, two hundred nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 17027 34054 51081 68108 102162 136216 187297 204324 374594 408648 561891 749188 1123782 1498376 2247564 2273867 4495128 4547734 6821601 9095468 13643202 18190936 25012537 27286404 50025074 54572808 75037611 100050148 150075222 200100296 300150444 600300888 38717133409 77434266818 116151400227 154868533636 232302800454 309737067272 425888467499 464605600908 851776934998 929211201816 1277665402497 1703553869996 2555330804994 3407107739992 5110661609988 10221323219976