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21000413412 = 223211173119491
BaseRepresentation
bin10011100011101110…
…001110000011100100
32000012112222112110100
4103203232032003210
5321002101212122
613351503424100
71342260366036
oct234356160344
960175875410
1021000413412
1189a7205470
1240a0bb5030
131c98a2b034
1410330ddc56
1582d9ceaac
hex4e3b8e0e4

21000413412 has 72 divisors (see below), whose sum is σ = 61316734752. Its totient is φ = 5989420800.

The previous prime is 21000413411. The next prime is 21000413477. The reversal of 21000413412 is 21431400012.

21000413412 is a `hidden beast` number, since 210 + 0 + 0 + 41 + 3 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21000413411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1553014 + ... + 1566477.

It is an arithmetic number, because the mean of its divisors is an integer number (851621316).

Almost surely, 221000413412 is an apocalyptic number.

21000413412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21000413412 is an abundant number, since it is smaller than the sum of its proper divisors (40316321340).

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

21000413412 is a wasteful number, since it uses less digits than its factorization.

21000413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119529 (or 3119524 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21000413412 its reverse (21431400012), we get a palindrome (42431813424).

The spelling of 21000413412 in words is "twenty-one billion, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 3119491 6238982 9358473 12477964 18716946 28075419 34314401 37433892 53031347 56150838 68628802 102943203 106062694 112301676 137257604 159094041 205886406 212125388 308829609 318188082 411772812 477282123 583344817 617659218 636376164 954564246 1166689634 1235318436 1750034451 1909128492 2333379268 3500068902 5250103353 7000137804 10500206706 21000413412