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21000201132000 = 253531750016761
BaseRepresentation
bin1001100011001011111011…
…00001110101011111100000
32202100121012010100111101010
410301211331201311133200
510223031402442211000
6112355205331340520
74265133363251406
oct461457541653740
982317163314333
1021000201132000
116767154079422
122431b90a51740
13b94406141b9c
145285b529d476
152663e40cbd50
hex13197d8757e0

21000201132000 has 96 divisors (see below), whose sum is σ = 68796658947744. Its totient is φ = 5600053632000.

The previous prime is 21000201131989. The next prime is 21000201132011. The reversal of 21000201132000 is 23110200012.

It is an interprime number because it is at equal distance from previous prime (21000201131989) and next prime (21000201132011).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 874996381 + ... + 875020380.

It is an arithmetic number, because the mean of its divisors is an integer number (716631864039).

Almost surely, 221000201132000 is an apocalyptic number.

21000201132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000201132000 is an abundant number, since it is smaller than the sum of its proper divisors (47796457815744).

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

21000201132000 is a wasteful number, since it uses less digits than its factorization.

21000201132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750016789 (or 1750016771 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21000201132000 its reverse (23110200012), we get a palindrome (21023311332012).

The spelling of 21000201132000 in words is "twenty-one trillion, two hundred one million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1750016761 3500033522 5250050283 7000067044 8750083805 10500100566 14000134088 17500167610 21000201132 26250251415 28000268176 35000335220 42000402264 43750419025 52500502830 56000536352 70000670440 84000804528 87500838050 105001005660 131251257075 140001340880 168001609056 175001676100 210002011320 218752095125 262502514150 280002681760 350003352200 420004022640 437504190250 525005028300 656256285375 700006704400 840008045280 875008380500 1050010056600 1312512570750 1400013408800 1750016761000 2100020113200 2625025141500 3500033522000 4200040226400 5250050283000 7000067044000 10500100566000 21000201132000