Search a number
-
+
100101220000210 = 251113312258092037
BaseRepresentation
bin10110110000101010100001…
…101010001110000111010010
3111010102120202010121022012101
4112300222201222032013102
5101110024244310001320
6552521510550351014
730041034356015542
oct2660524152160722
9433376663538171
10100101220000210
1129993764069510
12b28835405b46a
1343b16736303b0
141aa0cd3ccb322
15b88ce0b95c0a
hex5b0aa1a8e1d2

100101220000210 has 64 divisors (see below), whose sum is σ = 218511050333184. Its totient is φ = 32516525318400.

The previous prime is 100101220000181. The next prime is 100101220000237. The reversal of 100101220000210 is 12000022101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1129001689 + ... + 1129090348.

It is an arithmetic number, because the mean of its divisors is an integer number (3414235161456).

Almost surely, 2100101220000210 is an apocalyptic number.

100101220000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101220000210 is an abundant number, since it is smaller than the sum of its proper divisors (118409830332974).

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

100101220000210 is a wasteful number, since it uses less digits than its factorization.

100101220000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258092099.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100101220000210 its reverse (12000022101001), we get a palindrome (112101242101211).

The spelling of 100101220000210 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 13 22 26 31 55 62 65 110 130 143 155 286 310 341 403 682 715 806 1430 1705 2015 3410 4030 4433 8866 22165 44330 2258092037 4516184074 11290460185 22580920370 24839012407 29355196481 49678024814 58710392962 70000853147 124195062035 140001706294 146775982405 248390124070 293551964810 322907161291 350004265735 645814322582 700008531470 770009384617 910011090911 1540018769234 1614535806455 1820022181822 3229071612910 3850046923085 4550055454555 7700093846170 9100110909110 10010122000021 20020244000042 50050610000105 100101220000210