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42353131105220 = 22513374402612381
BaseRepresentation
bin10011010000101000110110…
…10101011010101111000100
312112221220211112020200112112
421220110123111122233010
521022403203030331340
6230024432042240152
711630625033315515
oct1150243325325704
9175856745220475
1042353131105220
1112549953401971
1249003a1ab6058
131a82b632c6520
14a65c8c5b0a0c
154d6a7ea8d065
hex26851b55abc4

42353131105220 has 48 divisors (see below), whose sum is σ = 98371971063408. Its totient is φ = 15215428385280.

The previous prime is 42353131105133. The next prime is 42353131105277. The reversal of 42353131105220 is 2250113135324.

It can be written as a sum of positive squares in 8 ways, for example, as 4860508078336 + 37492623026884 = 2204656^2 + 6123122^2 .

It is a super-2 number, since 2×423531311052202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201296571 + ... + 2201315810.

It is an arithmetic number, because the mean of its divisors is an integer number (2049416063821).

Almost surely, 242353131105220 is an apocalyptic number.

It is an amenable number.

42353131105220 is an abundant number, since it is smaller than the sum of its proper divisors (56018839958188).

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

42353131105220 is a wasteful number, since it uses less digits than its factorization.

42353131105220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402612440 (or 4402612438 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 42353131105220 in words is "forty-two trillion, three hundred fifty-three billion, one hundred thirty-one million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 4402612381 8805224762 17610449524 22013061905 44026123810 57233960953 88052247620 114467921906 162896658097 228935843812 286169804765 325793316194 572339609530 651586632388 814483290485 1144679219060 1628966580970 2117656555261 3257933161940 4235313110522 8470626221044 10588282776305 21176565552610 42353131105220