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21150402320 = 2454711235009
BaseRepresentation
bin10011101100101010…
…011000011100010000
32000121000012202120002
4103230222120130100
5321304000333240
613414422305132
71346061311345
oct235452303420
960530182502
1021150402320
118a7393a343
1241232881a8
131cc0b24b78
141048dc47cc
1583bc5ad15
hex4eca98710

21150402320 has 80 divisors (see below), whose sum is σ = 50275710720. Its totient is φ = 8271132672.

The previous prime is 21150402313. The next prime is 21150402323. The reversal of 21150402320 is 2320405112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×211504023202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21150402292 and 21150402301.

It is not an unprimeable number, because it can be changed into a prime (21150402323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219976 + ... + 4224984.

It is an arithmetic number, because the mean of its divisors is an integer number (628446384).

Almost surely, 221150402320 is an apocalyptic number.

21150402320 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 21150402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137855360).

21150402320 is an abundant number, since it is smaller than the sum of its proper divisors (29125308400).

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

21150402320 is a wasteful number, since it uses less digits than its factorization.

21150402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 21150402320 its reverse (2320405112), we get a palindrome (23470807432).

The spelling of 21150402320 in words is "twenty-one billion, one hundred fifty million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1123 1880 2246 3760 4492 5009 5615 8984 10018 11230 17968 20036 22460 25045 40072 44920 50090 52781 80144 89840 100180 105562 200360 211124 235423 263905 400720 422248 470846 527810 844496 941692 1055620 1177115 1883384 2111240 2354230 3766768 4222480 4708460 5625107 9416920 11250214 18833840 22500428 28125535 45000856 56251070 90001712 112502140 225004280 264380029 450008560 528760058 1057520116 1321900145 2115040232 2643800290 4230080464 5287600580 10575201160 21150402320