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202211110100980 = 22510110555505049
BaseRepresentation
bin101101111110100011110001…
…011000110001111111110100
3222111222012012221101012102101
4231332203301120301333310
5203001011323141212410
61554022300200351444
760410161546134541
oct5576436130617764
9874865187335371
10202211110100980
1159481283023672
121a819a4b775584
1388aa56c809066
1437d10d9d25bc8
151859e95a7cd3a
hexb7e8f1631ff4

202211110100980 has 12 divisors (see below), whose sum is σ = 424643331212100. Its totient is φ = 80884444040384.

The previous prime is 202211110100911. The next prime is 202211110100981. The reversal of 202211110100980 is 89001011112202.

It can be written as a sum of positive squares in 2 ways, for example, as 143909150333796 + 58301959767184 = 11996214^2 + 7635572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202211110100981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5055277752505 + ... + 5055277752544.

It is an arithmetic number, because the mean of its divisors is an integer number (35386944267675).

Almost surely, 2202211110100980 is an apocalyptic number.

202211110100980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202211110100980 is an abundant number, since it is smaller than the sum of its proper divisors (222432221111120).

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

202211110100980 is a wasteful number, since it uses less digits than its factorization.

202211110100980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110555505058 (or 10110555505056 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 202211110100980 in words is "two hundred two trillion, two hundred eleven billion, one hundred ten million, one hundred thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 10110555505049 20221111010098 40442222020196 50552777525245 101105555050490 202211110100980