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23133200020 = 22571935231637
BaseRepresentation
bin10101100010110110…
…001001111010010100
32012201012012022122221
4111202312021322110
5334334044400040
614343252432124
71446155645560
oct254266117224
965635168587
1023133200020
1198a10a7627
124597318644
132248858348
1411964826a0
15905d7174a
hex562d89e94

23133200020 has 96 divisors (see below), whose sum is σ = 55948209408. Its totient is φ = 7870390272.

The previous prime is 23133199951. The next prime is 23133200033. The reversal of 23133200020 is 2000233132.

It is a junction number, because it is equal to n+sod(n) for n = 23133199967 and 23133200003.

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 31 ways as a sum of consecutive naturals, for example, 14130642 + ... + 14132278.

It is an arithmetic number, because the mean of its divisors is an integer number (582793848).

Almost surely, 223133200020 is an apocalyptic number.

23133200020 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 23133200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27974104704).

23133200020 is an abundant number, since it is smaller than the sum of its proper divisors (32815009388).

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

23133200020 is a wasteful number, since it uses less digits than its factorization.

23133200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23133200020 its reverse (2000233132), we get a palindrome (25133433152).

The spelling of 23133200020 in words is "twenty-three billion, one hundred thirty-three million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 523 772 965 1046 1351 1637 1930 2092 2615 2702 3274 3661 3860 5230 5404 6548 6755 7322 8185 10460 11459 13510 14644 16370 18305 22918 27020 32740 36610 45836 57295 73220 100939 114590 201878 229180 315941 403756 504695 631882 706573 856151 1009390 1263764 1413146 1579705 1712302 2018780 2211587 2826292 3159410 3424604 3532865 4280755 4423174 5993057 6318820 7065730 8561510 8846348 11057935 11986114 14131460 17123020 22115870 23972228 29965285 44231740 59930570 119861140 165237143 330474286 660948572 826185715 1156660001 1652371430 2313320002 3304742860 4626640004 5783300005 11566600010 23133200020