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22200202101 = 3721177317761
BaseRepresentation
bin10100101011001111…
…000011001101110101
32010022011121010010110
4110223033003031311
5330431222431401
614110523213233
71414066414200
oct245317031565
963264533113
1022200202101
119462487470
124376977219
13212a47a27c
1411085b6937
1589dec79d6
hex52b3c3375

22200202101 has 48 divisors (see below), whose sum is σ = 37613947968. Its totient is φ = 11517004800.

The previous prime is 22200202099. The next prime is 22200202139. The reversal of 22200202101 is 10120200222.

It is not a de Polignac number, because 22200202101 - 21 = 22200202099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200202001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1241061 + ... + 1258821.

It is an arithmetic number, because the mean of its divisors is an integer number (783623916).

Almost surely, 222200202101 is an apocalyptic number.

22200202101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22200202101 is a deficient number, since it is larger than the sum of its proper divisors (15413745867).

22200202101 is a wasteful number, since it uses less digits than its factorization.

22200202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22200202101 its reverse (10120200222), we get a palindrome (32320402323).

The spelling of 22200202101 in words is "twenty-two billion, two hundred million, two hundred two thousand, one hundred one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 773 1617 2319 5411 8503 16233 17761 25509 37877 53283 59521 113631 124327 178563 195371 372981 416647 586113 870289 1249941 1367597 2610867 4102791 9573179 13729253 28719537 41187759 96104771 151021783 288314313 453065349 672733397 1057152481 2018200191 3171457443 7400067367 22200202101