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101313230010030 = 232511292137466579
BaseRepresentation
bin10111000010010011010011…
…000101011111011010101110
3111021201110011012021010102100
4113002103103011133122232
5101234403443340310110
6555250353315235530
730224432200065513
oct2702232305373256
9437643135233370
10101313230010030
112a310777123755
12b4432238a8ba6
13446ba48175a8c
141b0382d4bb30a
15baa5c9e2cbc0
hex5c24d315f6ae

101313230010030 has 96 divisors (see below), whose sum is σ = 263771652736800. Its totient is φ = 26980242379776.

The previous prime is 101313230009987. The next prime is 101313230010067. The reversal of 101313230010030 is 30010032313101.

It is a happy number.

101313230010030 is a `hidden beast` number, since 10 + 1 + 313 + 2 + 300 + 10 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101313230009985 and 101313230010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216907281 + ... + 217373859.

It is an arithmetic number, because the mean of its divisors is an integer number (2747621382675).

Almost surely, 2101313230010030 is an apocalyptic number.

101313230010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101313230010030 is an abundant number, since it is smaller than the sum of its proper divisors (162458422726770).

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

101313230010030 is a wasteful number, since it uses less digits than its factorization.

101313230010030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469858 (or 469855 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101313230010030 its reverse (30010032313101), we get a palindrome (131323262323131).

The spelling of 101313230010030 in words is "one hundred one trillion, three hundred thirteen billion, two hundred thirty million, ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1129 2137 2258 3387 4274 5645 6411 6774 10161 10685 11290 12822 16935 19233 20322 21370 32055 33870 38466 50805 64110 96165 101610 192330 466579 933158 1399737 2332895 2412673 2799474 4199211 4665790 4825346 6998685 7238019 8398422 12063365 13997370 14476038 20996055 21714057 24126730 36190095 41992110 43428114 72380190 108570285 217140570 526767691 997079323 1053535382 1580303073 1994158646 2633838455 2991237969 3160606146 4740909219 4985396615 5267676910 5982475938 7901515365 8973713907 9481818438 9970793230 14956189845 15803030730 17947427814 23704546095 29912379690 44868569535 47409092190 89737139070 1125702555667 2251405111334 3377107667001 5628512778335 6754215334002 10131323001003 11257025556670 16885538335005 20262646002006 33771076670010 50656615005015 101313230010030