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2114311031300 = 2252132116976829
BaseRepresentation
bin11110110001000110110…
…000100000101000000100
321111010101222012220112002
4132301012300200220010
5234120102111000200
64255145011044432
7305516412144626
oct36610660405004
97433358186462
102114311031300
11745746503586
122a19265a0718
131244bcc43870
147449442cc16
1539ee87d7bd5
hex1ec46c20a04

2114311031300 has 72 divisors (see below), whose sum is σ = 4941279961800. Its totient is φ = 780621649920.

The previous prime is 2114311031293. The next prime is 2114311031351. The reversal of 2114311031300 is 31301134112.

It can be written as a sum of positive squares in 12 ways, for example, as 8422467076 + 2105888564224 = 91774^2 + 1451168^2 .

It is a super-2 number, since 2×21143110313002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 27481286 + ... + 27558114.

Almost surely, 22114311031300 is an apocalyptic number.

2114311031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114311031300 is an abundant number, since it is smaller than the sum of its proper divisors (2826968930500).

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

2114311031300 is a wasteful number, since it uses less digits than its factorization.

2114311031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98025 (or 98018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2114311031300 its reverse (31301134112), we get a palindrome (2145612165412).

The spelling of 2114311031300 in words is "two trillion, one hundred fourteen billion, three hundred eleven million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 21169 42338 76829 84676 105845 153658 211690 275197 307316 384145 423380 529225 550394 768290 998777 1058450 1100788 1375985 1536580 1920725 1997554 2116900 2751970 3841450 3995108 4993885 5503940 6879925 7682900 9987770 13759850 19975540 24969425 27519700 49938850 99877700 1626393101 3252786202 6505572404 8131965505 16263931010 21143110313 32527862020 40659827525 42286220626 81319655050 84572441252 105715551565 162639310100 211431103130 422862206260 528577757825 1057155515650 2114311031300