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10127310612 = 22319210322697
BaseRepresentation
bin10010110111010001…
…00111111100010100
3222010210022200110020
421123220213330110
5131220042414422
64352531225140
7505651501626
oct113350477424
928123280406
1010127310612
11432766a3a1
121b677481b0
13c551a3ab3
146c1022c16
153e415995c
hex25ba27f14

10127310612 has 72 divisors (see below), whose sum is σ = 25182795456. Its totient is φ = 3166909056.

The previous prime is 10127310587. The next prime is 10127310629. The reversal of 10127310612 is 21601372101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434848 + ... + 457544.

It is an arithmetic number, because the mean of its divisors is an integer number (349761048).

Almost surely, 210127310612 is an apocalyptic number.

10127310612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127310612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591397728).

10127310612 is an abundant number, since it is smaller than the sum of its proper divisors (15055484844).

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

10127310612 is a wasteful number, since it uses less digits than its factorization.

10127310612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22845 (or 22824 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 10127310612 its reverse (21601372101), we get a palindrome (31728682713).

The spelling of 10127310612 in words is "ten billion, one hundred twenty-seven million, three hundred ten thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 206 228 309 361 412 618 722 1083 1236 1444 1957 2166 3914 4332 5871 7828 11742 22697 23484 37183 45394 68091 74366 90788 111549 136182 148732 223098 272364 431243 446196 862486 1293729 1724972 2337791 2587458 4675582 5174916 7013373 8193617 9351164 14026746 16387234 24580851 28053492 32774468 44418029 49161702 88836058 98323404 133254087 177672116 266508174 533016348 843942551 1687885102 2531827653 3375770204 5063655306 10127310612