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130131323310400 = 265283979904543
BaseRepresentation
bin11101100101101010001111…
…010011001101000101000000
3122001202102200122222122222221
4131211222033103031011000
5114024032422231413100
61140433301000140424
736260451334343566
oct3545521723150500
9561672618878887
10130131323310400
1138511425546015
12127183a4a67714
13577c43c666b09
14241c5652d5a36
15100a0336a401a
hex765a8f4cd140

130131323310400 has 84 divisors (see below), whose sum is σ = 324062271937152. Its totient is φ = 51425390364160.

The previous prime is 130131323310389. The next prime is 130131323310407. The reversal of 130131323310400 is 4013323131031.

It is a super-2 number, since 2×1301313233104002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131323310407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489819472 + ... + 490085071.

It is an arithmetic number, because the mean of its divisors is an integer number (3857884189728).

Almost surely, 2130131323310400 is an apocalyptic number.

130131323310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130131323310400 is an abundant number, since it is smaller than the sum of its proper divisors (193930948626752).

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

130131323310400 is an equidigital number, since it uses as much as digits as its factorization.

130131323310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979904648 (or 979904633 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 130131323310400 its reverse (4013323131031), we get a palindrome (134144646441431).

The spelling of 130131323310400 in words is "one hundred thirty trillion, one hundred thirty-one billion, three hundred twenty-three million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 160 166 200 320 332 400 415 664 800 830 1328 1600 1660 2075 2656 3320 4150 5312 6640 8300 13280 16600 26560 33200 66400 132800 979904543 1959809086 3919618172 4899522715 7839236344 9799045430 15678472688 19598090860 24497613575 31356945376 39196181720 48995227150 62713890752 78392363440 81332077069 97990454300 156784726880 162664154138 195980908600 313569453760 325328308276 391961817200 406660385345 650656616552 783923634400 813320770690 1301313233104 1567847268800 1626641541380 2033301926725 2602626466208 3253283082760 4066603853450 5205252932416 6506566165520 8133207706900 13013132331040 16266415413800 26026264662080 32532830827600 65065661655200 130131323310400