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21100030320 = 2435325127043
BaseRepresentation
bin10011101001101010…
…001110100101110000
32000110111102121011110
4103221222032211300
5321203101432240
613405422513320
71344610204245
oct235152164560
960414377143
1021100030320
118a48465096
12410a435840
131cb3569355
1410424315cc
1583760ac80
hex4e9a8e970

21100030320 has 80 divisors (see below), whose sum is σ = 65432633472. Its totient is φ = 5624736000.

The previous prime is 21100030307. The next prime is 21100030331. The reversal of 21100030320 is 2303000112.

It is a happy number.

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

It is a super-2 number, since 2×211000303202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21100030296 and 21100030305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766719 + ... + 793761.

Almost surely, 221100030320 is an apocalyptic number.

21100030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100030320 is an abundant number, since it is smaller than the sum of its proper divisors (44332603152).

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

21100030320 is a wasteful number, since it uses less digits than its factorization.

21100030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30310 (or 30304 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21100030320 its reverse (2303000112), we get a palindrome (23403030432).

The spelling of 21100030320 in words is "twenty-one billion, one hundred million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3251 6502 9753 13004 16255 19506 26008 27043 32510 39012 48765 52016 54086 65020 78024 81129 97530 108172 130040 135215 156048 162258 195060 216344 260080 270430 324516 390120 405645 432688 540860 649032 780240 811290 1081720 1298064 1622580 2163440 3245160 6490320 87916793 175833586 263750379 351667172 439583965 527500758 703334344 879167930 1055001516 1318751895 1406668688 1758335860 2110003032 2637503790 3516671720 4220006064 5275007580 7033343440 10550015160 21100030320