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10780131060 = 2232561981797
BaseRepresentation
bin10100000101000101…
…11011111011110100
31000211021201101202100
422002202323323310
5134034203143220
64541411342100
7531066413346
oct120242737364
930737641670
1010780131060
114632115026
12210a2b1930
13102a50479a
147439d9296
1543160cd90
hex2828bbef4

10780131060 has 72 divisors (see below), whose sum is σ = 33235825896. Its totient is φ = 2827572480.

The previous prime is 10780131029. The next prime is 10780131067. The reversal of 10780131060 is 6013108701.

It can be written as a sum of positive squares in 4 ways, for example, as 515199204 + 10264931856 = 22698^2 + 101316^2 .

It is a super-2 number, since 2×107801310602 (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 (10780131067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479919 + ... + 501878.

It is an arithmetic number, because the mean of its divisors is an integer number (461608693).

Almost surely, 210780131060 is an apocalyptic number.

10780131060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10780131060 is an abundant number, since it is smaller than the sum of its proper divisors (22455694836).

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

10780131060 is a wasteful number, since it uses less digits than its factorization.

10780131060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981873 (or 981868 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10780131060 its reverse (6013108701), we get a palindrome (16793239761).

The spelling of 10780131060 in words is "ten billion, seven hundred eighty million, one hundred thirty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 981797 1963594 2945391 3927188 4908985 5890782 8836173 9817970 11781564 14726955 17672346 19635940 29453910 35344692 44180865 58907820 59889617 88361730 119779234 176723460 179668851 239558468 299448085 359337702 539006553 598896170 718675404 898344255 1078013106 1197792340 1796688510 2156026212 2695032765 3593377020 5390065530 10780131060