Search a number
-
+
2222101220100 = 2235211816271807
BaseRepresentation
bin100000010101011111100…
…011011100101100000100
321212102122001110211210220
4200111133203130230010
5242401330403020400
64420452540544340
7316353511504056
oct40253743345404
97772561424726
102222101220100
1178742a232843
122ba7a92520b0
1313170a685478
147979bd3d8d6
153cc068c67a0
hex2055f8dcb04

2222101220100 has 72 divisors (see below), whose sum is σ = 6434724484608. Its totient is φ = 592058486400.

The previous prime is 2222101220099. The next prime is 2222101220263. The reversal of 2222101220100 is 10221012222.

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 2222101220100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2781604 + ... + 3490203.

Almost surely, 22222101220100 is an apocalyptic number.

2222101220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222101220100 is an abundant number, since it is smaller than the sum of its proper divisors (4212623264508).

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

2222101220100 is a wasteful number, since it uses less digits than its factorization.

2222101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273005 (or 6272998 counting only the distinct ones).

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

Adding to 2222101220100 its reverse (10221012222), we get a palindrome (2232322232322).

The spelling of 2222101220100 in words is "two trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1181 2362 3543 4724 5905 7086 11810 14172 17715 23620 29525 35430 59050 70860 88575 118100 177150 354300 6271807 12543614 18815421 25087228 31359035 37630842 62718070 75261684 94077105 125436140 156795175 188154210 313590350 376308420 470385525 627180700 940771050 1881542100 7407004067 14814008134 22221012201 29628016268 37035020335 44442024402 74070040670 88884048804 111105061005 148140081340 185175101675 222210122010 370350203350 444420244020 555525305025 740700406700 1111050610050 2222101220100