Search a number
-
+
102220201220100 = 22352477249659661
BaseRepresentation
bin10111001111011111111110…
…110010000101100000000100
3111101221011012120121101002020
4113033133332302011200010
5101344233433003020400
61001223151232043140
730350110610136615
oct2717377662054004
9441834176541066
10102220201220100
112a630386793887
12b56ab626934b0
134506428c97852
141b356ac687c0c
15bc3eae4882a0
hex5cf7fec85804

102220201220100 has 72 divisors (see below), whose sum is σ = 302049820157568. Its totient is φ = 26678747548800.

The previous prime is 102220201220057. The next prime is 102220201220191. The reversal of 102220201220100 is 1022102022201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102220201220100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3624815731 + ... + 3624843930.

Almost surely, 2102220201220100 is an apocalyptic number.

102220201220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220201220100 is an abundant number, since it is smaller than the sum of its proper divisors (199829618937468).

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

102220201220100 is a wasteful number, since it uses less digits than its factorization.

102220201220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249659725 (or 7249659718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220201220100 its reverse (1022102022201), we get a palindrome (103242303242301).

The spelling of 102220201220100 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 7249659661 14499319322 21748978983 28998638644 36248298305 43497957966 72496596610 86995915932 108744894915 144993193220 181241491525 217489789830 340734004067 362482983050 434979579660 543724474575 681468008134 724965966100 1022202012201 1087448949150 1362936016268 1703670020335 2044404024402 2174897898300 3407340040670 4088808048804 5111010061005 6814680081340 8518350101675 10222020122010 17036700203350 20444040244020 25555050305025 34073400406700 51110100610050 102220201220100