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21331130100 = 22352710157681
BaseRepresentation
bin10011110111011011…
…110011011011110100
32001001121021200110120
4103313123303123310
5322141232130400
613444400051540
71353414420450
oct236733633364
961047250416
1021331130100
119056959845
124173903bb0
13201c3c2097
141064dcb660
1584ca59ca0
hex4f76f36f4

21331130100 has 72 divisors (see below), whose sum is σ = 70534943808. Its totient is φ = 4875686400.

The previous prime is 21331130087. The next prime is 21331130111. The reversal of 21331130100 is 103113312.

It is a super-2 number, since 2×213311301002 (a number of 21 digits) contains 22 as substring.

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 21331130100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5076741 + ... + 5080940.

Almost surely, 221331130100 is an apocalyptic number.

21331130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331130100 is an abundant number, since it is smaller than the sum of its proper divisors (49203813708).

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

21331130100 is a wasteful number, since it uses less digits than its factorization.

21331130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157705 (or 10157698 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 21331130100 its reverse (103113312), we get a palindrome (21434243412).

The spelling of 21331130100 in words is "twenty-one billion, three hundred thirty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 10157681 20315362 30473043 40630724 50788405 60946086 71103767 101576810 121892172 142207534 152365215 203153620 213311301 253942025 284415068 304730430 355518835 426622602 507884050 609460860 711037670 761826075 853245204 1015768100 1066556505 1422075340 1523652150 1777594175 2133113010 3047304300 3555188350 4266226020 5332782525 7110376700 10665565050 21331130100