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23310313100 = 22522920034013
BaseRepresentation
bin10101101101011001…
…110010011010001100
32020011112110121010122
4111231121302122030
5340214420004400
614413020524112
71453436251334
oct255531623214
966145417118
1023310313100
119982078278
1246266b0638
13227645b199
1411b1bc80c4
159166a9685
hex56d67268c

23310313100 has 72 divisors (see below), whose sum is σ = 52366804560. Its totient is φ = 8995866880.

The previous prime is 23310313097. The next prime is 23310313109. The reversal of 23310313100 is 131301332.

It is a super-3 number, since 3×233103131003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (23310313109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5806694 + ... + 5810706.

It is an arithmetic number, because the mean of its divisors is an integer number (727316730).

Almost surely, 223310313100 is an apocalyptic number.

23310313100 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 23310313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183402280).

23310313100 is an abundant number, since it is smaller than the sum of its proper divisors (29056491460).

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

23310313100 is a wasteful number, since it uses less digits than its factorization.

23310313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 23310313100 its reverse (131301332), we get a palindrome (23441614432).

The spelling of 23310313100 in words is "twenty-three billion, three hundred ten million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2003 2900 4006 4013 8012 8026 10015 16052 20030 20065 40060 40130 50075 58087 80260 100150 100325 116174 116377 200300 200650 232348 232754 290435 401300 465508 580870 581885 1161740 1163770 1452175 2327540 2904350 2909425 5808700 5818850 8038039 11637700 16076078 32152156 40190195 80380390 160760780 200950975 233103131 401901950 466206262 803803900 932412524 1165515655 2331031310 4662062620 5827578275 11655156550 23310313100