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21100211311130 = 2572160926762993
BaseRepresentation
bin1001100110000110001101…
…00110011001001000011010
32202201011100000010222202122
410303003012212121020122
510231201213043424010
6112513145300501242
74305303622613600
oct463030646311032
982634300128678
1021100211311130
1167a5605227226
1224494420aa822
13ba0983aa6883
1452d38180d870
15268ce9177855
hex1330c699921a

21100211311130 has 48 divisors (see below), whose sum is σ = 44208719268840. Its totient is φ = 7229861710848.

The previous prime is 21100211311079. The next prime is 21100211311159. The reversal of 21100211311130 is 3111311200112.

It can be written as a sum of positive squares in 4 ways, for example, as 20736466020361 + 363745290769 = 4553731^2 + 603113^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21100211311099 and 21100211311108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12593087 + ... + 14169906.

Almost surely, 221100211311130 is an apocalyptic number.

21100211311130 is an abundant number, since it is smaller than the sum of its proper divisors (23108507957710).

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

21100211311130 is a wasteful number, since it uses less digits than its factorization.

21100211311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26764623 (or 26764616 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 21100211311130 its reverse (3111311200112), we get a palindrome (24211522511242).

The spelling of 21100211311130 in words is "twenty-one trillion, one hundred billion, two hundred eleven million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1609 3218 8045 11263 16090 22526 56315 78841 112630 157682 394205 788410 26762993 53525986 133814965 187340951 267629930 374681902 936704755 1311386657 1873409510 2622773314 6556933285 13113866570 43061655737 86123311474 215308278685 301431590159 430616557370 602863180318 1507157950795 2110021131113 3014315901590 4220042262226 10550105655565 21100211311130