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10701400032 = 253282145259
BaseRepresentation
bin10011111011101101…
…00110011111100000
31000121210120110002100
421331312212133200
5133404024300112
64525520050400
7526122254001
oct117566463740
930553513070
1010701400032
1145a1730264
1220a7a63a00
1310170c9b8b
147373831a8
1542975a2dc
hex27dda67e0

10701400032 has 72 divisors (see below), whose sum is σ = 30469846680. Its totient is φ = 3562709760.

The previous prime is 10701400019. The next prime is 10701400081. The reversal of 10701400032 is 23000410701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107014000322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10701399978 and 10701400014.

It is a congruent number.

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, 213819 + ... + 259077.

It is an arithmetic number, because the mean of its divisors is an integer number (423192315).

Almost surely, 210701400032 is an apocalyptic number.

10701400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10701400032 is an abundant number, since it is smaller than the sum of its proper divisors (19768446648).

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

10701400032 is a wasteful number, since it uses less digits than its factorization.

10701400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46096 (or 46085 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10701400032 its reverse (23000410701), we get a palindrome (33701810733).

The spelling of 10701400032 in words is "ten billion, seven hundred one million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 821 1642 2463 3284 4926 6568 7389 9852 13136 14778 19704 26272 29556 39408 45259 59112 78816 90518 118224 135777 181036 236448 271554 362072 407331 543108 724144 814662 1086216 1448288 1629324 2172432 3258648 4344864 6517296 13034592 37157639 74315278 111472917 148630556 222945834 297261112 334418751 445891668 594522224 668837502 891783336 1189044448 1337675004 1783566672 2675350008 3567133344 5350700016 10701400032