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21032123120 = 245378098783
BaseRepresentation
bin10011100101100111…
…001011101011110000
32000021202122112222222
4103211213023223300
5321033210414440
613354555220212
71343124045131
oct234547135360
960252575888
1021032123120
118a130a3438
1240ab747668
131ca2481288
1410373d5c88
158316952b5
hex4e59cbaf0

21032123120 has 80 divisors (see below), whose sum is σ = 50289102720. Its totient is φ = 8174426112.

The previous prime is 21032123029. The next prime is 21032123171. The reversal of 21032123120 is 2132123012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2390249 + ... + 2399031.

It is an arithmetic number, because the mean of its divisors is an integer number (628613784).

Almost surely, 221032123120 is an apocalyptic number.

21032123120 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 21032123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25144551360).

21032123120 is an abundant number, since it is smaller than the sum of its proper divisors (29256979600).

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

21032123120 is a wasteful number, since it uses less digits than its factorization.

21032123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21032123120 its reverse (2132123012), we get a palindrome (23164246132).

The spelling of 21032123120 in words is "twenty-one billion, thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 809 1480 1618 2960 3236 4045 6472 8090 8783 12944 16180 17566 29933 32360 35132 43915 59866 64720 70264 87830 119732 140528 149665 175660 239464 299330 324971 351320 478928 598660 649942 702640 1197320 1299884 1624855 2394640 2599768 3249710 5199536 6499420 7105447 12998840 14210894 25997680 28421788 35527235 56843576 71054470 113687152 142108940 262901539 284217880 525803078 568435760 1051606156 1314507695 2103212312 2629015390 4206424624 5258030780 10516061560 21032123120