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1210005005130 = 233566110936203
BaseRepresentation
bin10001100110111001111…
…010110010001101001010
311021200020022220000212000
4101212321322302031022
5124311042240131010
62323511342331430
7153264023562135
oct21467172621512
94250208800760
101210005005130
1142718430a579
12176610289b76
138a14533839c
14427c91d121c
152171d2367c0
hex119b9eb234a

1210005005130 has 128 divisors (see below), whose sum is σ = 3235039568640. Its totient is φ = 321833191680.

The previous prime is 1210005005087. The next prime is 1210005005161. The reversal of 1210005005130 is 315005000121.

1210005005130 is a `hidden beast` number, since 1 + 2 + 100 + 0 + 50 + 0 + 513 + 0 = 666.

It is a super-2 number, since 2×12100050051302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195064609 + ... + 195070811.

It is an arithmetic number, because the mean of its divisors is an integer number (25273746630).

Almost surely, 21210005005130 is an apocalyptic number.

1210005005130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210005005130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617519784320).

1210005005130 is an abundant number, since it is smaller than the sum of its proper divisors (2025034563510).

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

1210005005130 is a wasteful number, since it uses less digits than its factorization.

1210005005130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 1210005005130 in words is "one trillion, two hundred ten billion, five million, five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 661 1093 1322 1983 2186 3279 3305 3966 5465 5949 6203 6558 6610 9837 9915 10930 11898 12406 16395 17847 18609 19674 19830 29511 29745 31015 32790 35694 37218 49185 55827 59022 59490 62030 89235 93045 98370 111654 147555 167481 178470 186090 279135 295110 334962 558270 722473 837405 1444946 1674810 2167419 3612365 4100183 4334838 6502257 6779879 7224730 8200366 10837095 12300549 13004514 13559758 19506771 20339637 20500915 21674190 24601098 32511285 33899395 36901647 39013542 40679274 41001830 61018911 61502745 65022570 67798790 73803294 97533855 101698185 110704941 122037822 123005490 183056733 184508235 195067710 203396370 221409882 305094555 366113466 369016470 553524705 610189110 915283665 1107049410 1830567330 4481500019 8963000038 13444500057 22407500095 26889000114 40333500171 44815000190 67222500285 80667000342 121000500513 134445000570 201667500855 242001001026 403335001710 605002502565 1210005005130