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23201300310232 = 23111511871933209
BaseRepresentation
bin1010100011001111110010…
…10000110110100011011000
310001011000121111210001220111
411101213321100312203120
511020112230334411412
6121202310305534104
74613144564464642
oct521477120664330
9101130544701814
1023201300310232
117435686194270
122728698644334
13cc3b47649035
145a2d3dbd7892
152a37bbca12a7
hex1519f94368d8

23201300310232 has 64 divisors (see below), whose sum is σ = 47797075123200. Its totient is φ = 10470593760000.

The previous prime is 23201300310169. The next prime is 23201300310403.

23201300310232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24395244 + ... + 25328452.

It is an arithmetic number, because the mean of its divisors is an integer number (746829298800).

Almost surely, 223201300310232 is an apocalyptic number.

23201300310232 is a gapful number since it is divisible by the number (22) 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 23201300310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898537561600).

23201300310232 is an abundant number, since it is smaller than the sum of its proper divisors (24595774812968).

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

23201300310232 is a wasteful number, since it uses less digits than its factorization.

23201300310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935248 (or 935244 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 23201300 and 310232, that added together give a palindrome (23511532).

The spelling of 23201300310232 in words is "twenty-three trillion, two hundred one billion, three hundred million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1208 1661 1871 3322 3742 6644 7484 13288 14968 20581 41162 82324 164648 282521 565042 933209 1130084 1866418 2260168 3107731 3732836 6215462 7465672 10265299 12430924 20530598 24861848 41061196 82122392 140914559 281829118 563658236 1127316472 1550060149 1746034039 3100120298 3492068078 6200240596 6984136156 12400481192 13968272312 19206374429 38412748858 76825497716 153650995432 263651139889 527302279778 1054604559556 2109209119112 2900162538779 5800325077558 11600650155116 23201300310232