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23301230100 = 2235285790631
BaseRepresentation
bin10101101100110111…
…001000111000010100
32020010220101010121020
4111230313020320110
5340210103330400
614412054121140
71453266121311
oct255467107024
966126333536
1023301230100
119977a34065
1246236501b0
1322745cab25
1411b0901d08
159159b32a0
hex56cdc8e14

23301230100 has 72 divisors (see below), whose sum is σ = 67497638208. Its totient is φ = 6206342400.

The previous prime is 23301230063. The next prime is 23301230101. The reversal of 23301230100 is 103210332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23301230100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301230101) 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, 211785 + ... + 302415.

Almost surely, 223301230100 is an apocalyptic number.

23301230100 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 23301230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33748819104).

23301230100 is an abundant number, since it is smaller than the sum of its proper divisors (44196408108).

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

23301230100 is a wasteful number, since it uses less digits than its factorization.

23301230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91505 (or 91498 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23301230100 its reverse (103210332), we get a palindrome (23404440432).

The spelling of 23301230100 in words is "twenty-three billion, three hundred one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 857 1714 2571 3428 4285 5142 8570 10284 12855 17140 21425 25710 42850 51420 64275 85700 90631 128550 181262 257100 271893 362524 453155 543786 906310 1087572 1359465 1812620 2265775 2718930 4531550 5437860 6797325 9063100 13594650 27189300 77670767 155341534 233012301 310683068 388353835 466024602 776707670 932049204 1165061505 1553415340 1941769175 2330123010 3883538350 4660246020 5825307525 7767076700 11650615050 23301230100