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21001132210000 = 24542287918283
BaseRepresentation
bin1001100011001101101010…
…00001100111011101010000
32202100200121000100011021111
410301212311001213131100
510223040304321210000
6112355441551503104
74265165430265465
oct461466501473520
982320530304244
1021001132210000
1167675916a8078
1224321b0827a94
13b94523cca107
14528662bc966c
1526644abe6cba
hex1319b5067750

21001132210000 has 100 divisors (see below), whose sum is σ = 50868129138112. Its totient is φ = 8396770608000.

The previous prime is 21001132209983. The next prime is 21001132210001. The reversal of 21001132210000 is 1223110012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001132210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22410859 + ... + 23329141.

Almost surely, 221001132210000 is an apocalyptic number.

21001132210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001132210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25434064569056).

21001132210000 is an abundant number, since it is smaller than the sum of its proper divisors (29866996928112).

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

21001132210000 is an equidigital number, since it uses as much as digits as its factorization.

21001132210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920598 (or 920577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21001132210000 its reverse (1223110012), we get a palindrome (21002355320012).

The spelling of 21001132210000 in words is "twenty-one trillion, one billion, one hundred thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2287 2500 4574 5000 9148 10000 11435 18296 22870 36592 45740 57175 91480 114350 182960 228700 285875 457400 571750 914800 918283 1143500 1429375 1836566 2287000 2858750 3673132 4574000 4591415 5717500 7346264 9182830 11435000 14692528 18365660 22870000 22957075 36731320 45914150 73462640 91828300 114785375 183656600 229570750 367313200 459141500 573926875 918283000 1147853750 1836566000 2100113221 2295707500 4200226442 4591415000 8400452884 9182830000 10500566105 16800905768 21001132210 33601811536 42002264420 52502830525 84004528840 105005661050 168009057680 210011322100 262514152625 420022644200 525028305250 840045288400 1050056610500 1312570763125 2100113221000 2625141526250 4200226442000 5250283052500 10500566105000 21001132210000