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131130203321312 = 25132316471208927
BaseRepresentation
bin11101110100001100100001…
…001100000011001111100000
3122012021220222022221202021122
4131310030201030003033200
5114141414124022240222
61142520214521311412
736422562452344406
oct3564144114031740
9565256868852248
10131130203321312
1138867009243598
1212859ab3935568
1358226a98a3500
142454a42ab9476
151025ee6936a42
hex7743213033e0

131130203321312 has 144 divisors (see below), whose sum is σ = 289012788191232. Its totient is φ = 58478748756480.

The previous prime is 131130203321279. The next prime is 131130203321323. The reversal of 131130203321312 is 213123302031131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107863793 + ... + 109072719.

It is an arithmetic number, because the mean of its divisors is an integer number (2007033251328).

Almost surely, 2131130203321312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131130203321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506394095616).

131130203321312 is an abundant number, since it is smaller than the sum of its proper divisors (157882584869920).

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

131130203321312 is a wasteful number, since it uses less digits than its factorization.

131130203321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209641 (or 1209620 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 131130203321312 its reverse (213123302031131), we get a palindrome (344253505352443).

The spelling of 131130203321312 in words is "one hundred thirty-one trillion, one hundred thirty billion, two hundred three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 338 403 416 496 647 676 806 992 1294 1352 1612 2588 2704 3224 5176 5239 5408 6448 8411 10352 10478 12896 16822 20057 20704 20956 33644 40114 41912 67288 80228 83824 109343 134576 160456 167648 218686 260741 269152 320912 437372 521482 641824 874744 1042964 1208927 1749488 2085928 2417854 3389633 3498976 4171856 4835708 6779266 8343712 9671416 13558532 15716051 19342832 27117064 31432102 37476737 38685664 54234128 62864204 74953474 108468256 125728408 149906948 204308663 251456816 299813896 408617326 487197581 502913632 599627792 782175769 817234652 974395162 1199255584 1564351538 1634469304 1948790324 3128703076 3268938608 3897580648 6257406152 6333568553 6537877216 7795161296 10168284997 12514812304 12667137106 15590322592 20336569994 24247448839 25029624608 25334274212 40673139988 48494897678 50668548424 81346279976 96989795356 101337096848 132187704961 162692559952 193979590712 202674193696 264375409922 315216834907 325385119904 387959181424 528750819844 630433669814 775918362848 1057501639688 1260867339628 2115003279376 2521734679256 4097818853791 4230006558752 5043469358512 8195637707582 10086938717024 16391275415164 32782550830328 65565101660656 131130203321312