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21202004152 = 2374321141729
BaseRepresentation
bin10011101111101111…
…001110100010111000
32000201121022101222001
4103233233032202320
5321410203113102
613423504310344
71350256030120
oct235757164270
960647271861
1021202004152
118a9aa8458a
1241386123b4
131ccb7213b4
141051bb7c80
15841550487
hex4efbce8b8

21202004152 has 64 divisors (see below), whose sum is σ = 46710892800. Its totient is φ = 8832983040.

The previous prime is 21202004123. The next prime is 21202004191. The reversal of 21202004152 is 25140020212.

It is a super-2 number, since 2×212020041522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487224 + ... + 528952.

It is an arithmetic number, because the mean of its divisors is an integer number (729857700).

Almost surely, 221202004152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202004152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23355446400).

21202004152 is an abundant number, since it is smaller than the sum of its proper divisors (25508888648).

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

21202004152 is a wasteful number, since it uses less digits than its factorization.

21202004152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41996 (or 41992 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 21202004152 its reverse (25140020212), we get a palindrome (46342024364).

The spelling of 21202004152 in words is "twenty-one billion, two hundred two million, four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 211 301 344 422 602 844 1204 1477 1688 2408 2954 5908 9073 11816 18146 36292 41729 63511 72584 83458 127022 166916 254044 292103 333832 508088 584206 1168412 1794347 2336824 3588694 7177388 8804819 12560429 14354776 17609638 25120858 35219276 50241716 61633733 70438552 100483432 123267466 246534932 378607217 493069864 757214434 1514428868 2650250519 3028857736 5300501038 10601002076 21202004152