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2130123776 = 21011296521
BaseRepresentation
bin111111011110111…
…0001110000000000
312111110012111111012
41332331301300000
513330302430101
6551211540052
7103533516254
oct17675616000
95443174435
102130123776
119a3443580
124b545a628
1327c407291
14162c8c264
15c7017bbb
hex7ef71c00

2130123776 has 88 divisors (see below), whose sum is σ = 4806192240. Its totient is φ = 934707200.

The previous prime is 2130123773. The next prime is 2130123803. The reversal of 2130123776 is 6773210312.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130123773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323396 + ... + 329916.

Almost surely, 22130123776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403096120).

2130123776 is an abundant number, since it is smaller than the sum of its proper divisors (2676068464).

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

2130123776 is a wasteful number, since it uses less digits than its factorization.

2130123776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 2130123776 is about 46153.2639799180. The cubic root of 2130123776 is about 1286.6732734619.

The spelling of 2130123776 in words is "two billion, one hundred thirty million, one hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1856 2552 2816 3712 5104 5632 6521 7424 10208 11264 13042 14848 20416 26084 29696 40832 52168 71731 81664 104336 143462 163328 189109 208672 286924 326656 378218 417344 573848 756436 834688 1147696 1512872 1669376 2080199 2295392 3025744 3338752 4160398 4590784 6051488 6677504 8320796 9181568 12102976 16641592 18363136 24205952 33283184 36726272 48411904 66566368 73452544 96823808 133132736 193647616 266265472 532530944 1065061888 2130123776