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23013121300 = 225213107165443
BaseRepresentation
bin10101011011101100…
…000101110100010100
32012101211020200121221
4111123230011310110
5334112324340200
614323323020124
71443200206051
oct253354056424
965354220557
1023013121300
11983a341714
12456306a644
132229a04650
141184546028
158ea55291a
hex55bb05d14

23013121300 has 72 divisors (see below), whose sum is σ = 54282838176. Its totient is φ = 8417688960.

The previous prime is 23013121291. The next prime is 23013121331. The reversal of 23013121300 is 312131032.

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 23 ways as a sum of consecutive naturals, for example, 56379 + ... + 221821.

It is an arithmetic number, because the mean of its divisors is an integer number (753928308).

Almost surely, 223013121300 is an apocalyptic number.

23013121300 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 23013121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141419088).

23013121300 is an abundant number, since it is smaller than the sum of its proper divisors (31269716876).

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

23013121300 is a wasteful number, since it uses less digits than its factorization.

23013121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165577 (or 165570 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23013121300 its reverse (312131032), we get a palindrome (23325252332).

The spelling of 23013121300 in words is "twenty-three billion, thirteen million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 535 650 1070 1300 1391 2140 2675 2782 5350 5564 6955 10700 13910 27820 34775 69550 139100 165443 330886 661772 827215 1654430 2150759 3308860 4136075 4301518 8272150 8603036 10753795 16544300 17702401 21507590 35404802 43015180 53768975 70809604 88512005 107537950 177024010 215075900 230131213 354048020 442560025 460262426 885120050 920524852 1150656065 1770240100 2301312130 4602624260 5753280325 11506560650 23013121300