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2121011231020 = 2251171166981359
BaseRepresentation
bin11110110111010110000…
…111101111100100101100
321111202200220211022122021
4132313112013233210230
5234222312333343040
64302213515355524
7306144430665613
oct36672607574454
97452626738567
102121011231020
117485745aa820
122a3096452ba4
1312501a0bb896
147492c22887a
153a28bb3224a
hex1edd61ef92c

2121011231020 has 96 divisors (see below), whose sum is σ = 4930494105600. Its totient is φ = 759948806400.

The previous prime is 2121011230927. The next prime is 2121011231093. The reversal of 2121011231020 is 201321101212.

It is a super-2 number, since 2×21210112310202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121011230985 and 2121011231003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26029101 + ... + 26110459.

It is an arithmetic number, because the mean of its divisors is an integer number (51359313600).

Almost surely, 22121011231020 is an apocalyptic number.

2121011231020 is a gapful number since it is divisible by the number (20) 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 2121011231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465247052800).

2121011231020 is an abundant number, since it is smaller than the sum of its proper divisors (2809482874580).

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

2121011231020 is a wasteful number, since it uses less digits than its factorization.

2121011231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83119 (or 83117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2121011231020 its reverse (201321101212), we get a palindrome (2322332332232).

The spelling of 2121011231020 in words is "two trillion, one hundred twenty-one billion, eleven million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 1669 3124 3338 3905 6676 7810 8345 15620 16690 18359 33380 36718 73436 81359 91795 118499 162718 183590 236998 325436 367180 406795 473996 592495 813590 894949 1184990 1303489 1627180 1789898 2369980 2606978 3579796 4474745 5213956 5776489 6517445 8949490 11552978 13034890 17898980 23105956 26069780 28882445 57764890 63541379 115529780 127082758 135788171 254165516 271576342 317706895 543152684 635413790 678940855 1270827580 1357881710 1493669881 2715763420 2987339762 5974679524 7468349405 9640960141 14936698810 19281920282 29873397620 38563840564 48204800705 96409601410 106050561551 192819202820 212101123102 424202246204 530252807755 1060505615510 2121011231020