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10072711220 = 22511133521927
BaseRepresentation
bin10010110000110000…
…10110000000110100
3221222222120202011112
421120120112000310
5131112103224340
64343301054152
7504416430005
oct113030260064
927888522145
1010072711220
1142a9868030
121b513b7358
13c46a98070
146b7a8d1ac
153de472065
hex258616034

10072711220 has 48 divisors (see below), whose sum is σ = 24850723968. Its totient is φ = 3381048960.

The previous prime is 10072711217. The next prime is 10072711223. The reversal of 10072711220 is 2211727001.

It is an interprime number because it is at equal distance from previous prime (10072711217) and next prime (10072711223).

It is a super-2 number, since 2×100727112202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072711223) 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, 1758104 + ... + 1763823.

It is an arithmetic number, because the mean of its divisors is an integer number (517723416).

Almost surely, 210072711220 is an apocalyptic number.

10072711220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072711220 is an abundant number, since it is smaller than the sum of its proper divisors (14778012748).

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

10072711220 is a wasteful number, since it uses less digits than its factorization.

10072711220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521960 (or 3521958 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The spelling of 10072711220 in words is "ten billion, seventy-two million, seven hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3521927 7043854 14087708 17609635 35219270 38741197 45785051 70438540 77482394 91570102 154964788 183140204 193705985 228925255 387411970 457850510 503635561 774823940 915701020 1007271122 2014542244 2518177805 5036355610 10072711220