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23223103221312 = 263288145763777
BaseRepresentation
bin1010100011111000011001…
…10100010110111001000000
310001020002212222210201012200
411101330030310112321000
511020441403411040222
6121220314001553200
74614546101252241
oct521741464267100
9101202788721180
1023223103221312
117443954386045
122730962345800
13cc5c106c2a57
145a400b712cc8
152a4145e4ceac
hex151f0cd16e40

23223103221312 has 84 divisors (see below), whose sum is σ = 66640389775596. Its totient is φ = 7732247592960.

The previous prime is 23223103221301. The next prime is 23223103221323. The reversal of 23223103221312 is 21312230132232.

23223103221312 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 310 + 32 + 2 + 1 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (23223103221301) and next prime (23223103221323).

It can be written as a sum of positive squares in 2 ways, for example, as 3130691429376 + 20092411791936 = 1769376^2 + 4482456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22374433 + ... + 23389344.

It is an arithmetic number, because the mean of its divisors is an integer number (793337973519).

Almost surely, 223223103221312 is an apocalyptic number.

It is an amenable number.

23223103221312 is an abundant number, since it is smaller than the sum of its proper divisors (43417286554284).

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

23223103221312 is a wasteful number, since it uses less digits than its factorization.

23223103221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45764676 (or 45764663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23223103221312 its reverse (21312230132232), we get a palindrome (44535333353544).

The spelling of 23223103221312 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred three million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 21144 28192 31716 42288 56384 63432 84576 126864 169152 253728 507456 45763777 91527554 137291331 183055108 274582662 366110216 411873993 549165324 732220432 823747986 1098330648 1464440864 1647495972 2196661296 2928881728 3294991944 4393322592 6589983888 8786645184 13179967776 26359935552 40317887537 80635775074 120953662611 161271550148 241907325222 322543100296 362860987833 483814650444 645086200592 725721975666 967629300888 1290172401184 1451443951332 1935258601776 2580344802368 2902887902664 3870517203552 5805775805328 7741034407104 11611551610656 23223103221312