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100202102221 = 13432934431381
BaseRepresentation
bin101110101010010000…
…0101011110111001101
3100120122020221012101011
41131110200223313031
53120203214232341
6114010542445221
710145046546544
oct1352440536715
9316566835334
10100202102221
113954a524531
1217505593811
1395ab651860
144bc7c2d15b
152916d5bb81
hex175482bdcd

100202102221 has 32 divisors (see below), whose sum is σ = 111126863232. Its totient is φ = 89766593280.

The previous prime is 100202102183. The next prime is 100202102227. The reversal of 100202102221 is 122201202001.

It is a happy number.

It is not a de Polignac number, because 100202102221 - 219 = 100201577933 is a prime.

It is a super-2 number, since 2×1002021022212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202102227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72556951 + ... + 72558331.

It is an arithmetic number, because the mean of its divisors is an integer number (3472714476).

Almost surely, 2100202102221 is an apocalyptic number.

It is an amenable number.

100202102221 is a deficient number, since it is larger than the sum of its proper divisors (10924761011).

100202102221 is a wasteful number, since it uses less digits than its factorization.

100202102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100202102221 its reverse (122201202001), we get a palindrome (222403304222).

The spelling of 100202102221 in words is "one hundred billion, two hundred two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 13 43 293 443 559 1381 3809 5759 12599 17953 19049 59383 129799 163787 247637 404633 611783 771979 1687387 5260229 5581357 7953179 17399219 26306669 72557641 179252419 226189847 341986697 2330281447 7707854017 100202102221