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23131452411300 = 223521011395492189
BaseRepresentation
bin1010100001001101101100…
…00000010000110110100100
310000220100022200122011110210
411100212312000100312210
511012441203304130200
6121110235331015420
74605122645235432
oct520466600206644
9100810280564423
1023131452411300
117408aa2939a62
12271704473a570
13cba395887a1c
1459d7d5495d52
152a1a7ebd7650
hex1509b6010da4

23131452411300 has 144 divisors (see below), whose sum is σ = 68075914737600. Its totient is φ = 6063375552000.

The previous prime is 23131452411251. The next prime is 23131452411311. The reversal of 23131452411300 is 311425413132.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1465606 + ... + 6957794.

It is an arithmetic number, because the mean of its divisors is an integer number (472749407900).

Almost surely, 223131452411300 is an apocalyptic number.

23131452411300 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 23131452411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34037957368800).

23131452411300 is an abundant number, since it is smaller than the sum of its proper divisors (44944462326300).

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

23131452411300 is a wasteful number, since it uses less digits than its factorization.

23131452411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492446 (or 5492439 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 23131452411300 its reverse (311425413132), we get a palindrome (23442877824432).

The spelling of 23131452411300 in words is "twenty-three trillion, one hundred thirty-one billion, four hundred fifty-two million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 139 150 202 278 300 303 404 417 505 556 606 695 834 1010 1212 1390 1515 1668 2020 2085 2525 2780 3030 3475 4170 5050 6060 6950 7575 8340 10100 10425 13900 14039 15150 20850 28078 30300 41700 42117 56156 70195 84234 140390 168468 210585 280780 350975 421170 701950 842340 1052925 1403900 2105850 4211700 5492189 10984378 16476567 21968756 27460945 32953134 54921890 65906268 82382835 109843780 137304725 164765670 274609450 329531340 411914175 549218900 554711089 763414271 823828350 1109422178 1526828542 1647656700 1664133267 2218844356 2290242813 2773555445 3053657084 3328266534 3817071355 4580485626 5547110890 6656533068 7634142710 8320666335 9160971252 11094221780 11451214065 13867777225 15268285420 16641332670 19085356775 22902428130 27735554450 33282665340 38170713550 41603331675 45804856260 55471108900 57256070325 76341427100 77104841371 83206663350 114512140650 154209682742 166413326700 229024281300 231314524113 308419365484 385524206855 462629048226 771048413710 925258096452 1156572620565 1542096827420 1927621034275 2313145241130 3855242068550 4626290482260 5782863102825 7710484137100 11565726205650 23131452411300