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131000310120400 = 2452767723690841
BaseRepresentation
bin11101110010010011100010…
…111100110011111111010000
3122011211111200211222110110121
4131302103202330303333100
5114132302113342323100
61142340413415240024
736410313543350560
oct3562234274637720
9564744624873417
10131000310120400
1138816a1298a176
12128388a2979014
135813378b83106
14244c63d890da0
15102294316c51a
hex7724e2f33fd0

131000310120400 has 120 divisors (see below), whose sum is σ = 359695254778304. Its totient is φ = 44913663820800.

The previous prime is 131000310120349. The next prime is 131000310120403. The reversal of 131000310120400 is 4021013000131.

It is a super-2 number, since 2×1310003101204002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000310120403) 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, 189278980 + ... + 189969820.

Almost surely, 2131000310120400 is an apocalyptic number.

131000310120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000310120400 is an abundant number, since it is smaller than the sum of its proper divisors (228694944657904).

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

131000310120400 is a wasteful number, since it uses less digits than its factorization.

131000310120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758589 (or 758578 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131000310120400 its reverse (4021013000131), we get a palindrome (135021323120531).

The spelling of 131000310120400 in words is "one hundred thirty-one trillion, three hundred ten million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 67723 135446 270892 338615 474061 541784 677230 690841 948122 1083568 1354460 1381682 1693075 1896244 2370305 2708920 2763364 3386150 3454205 3792488 4740610 4835887 5417840 5526728 6772300 6908410 7584976 9481220 9671774 11053456 11851525 13544600 13816820 17271025 18962440 19343548 23703050 24179435 27089200 27633640 34542050 37924880 38687096 47406100 48358870 55267280 69084100 77374192 94812200 96717740 120897175 138168200 189624400 193435480 241794350 276336400 386870960 483588700 967177400 1934354800 46785825043 93571650086 187143300172 233929125215 327500775301 374286600344 467858250430 655001550602 748573200688 935716500860 1169645626075 1310003101204 1637503876505 1871433001720 2339291252150 2620006202408 3275007753010 3742866003440 4678582504300 5240012404816 6550015506020 8187519382525 9357165008600 13100031012040 16375038765050 18714330017200 26200062024080 32750077530100 65500155060200 131000310120400