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3131242054512 = 2431113733622351
BaseRepresentation
bin101101100100001100100…
…100100000001101110000
3102002100021122100102112220
4231210030210200031300
5402300240431221022
610354250040121040
7442140045212445
oct55441444401560
912070248312486
103131242054512
11aa7a52565840
12426a32766180
13199375b31920
14ab7a531b9cc
15566b664d85c
hex2d90c920370

3131242054512 has 160 divisors (see below), whose sum is σ = 9516190258176. Its totient is φ = 874675584000.

The previous prime is 3131242054487. The next prime is 3131242054517. The reversal of 3131242054512 is 2154502421313.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131242054517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4720137 + ... + 5342487.

Almost surely, 23131242054512 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 3131242054512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758095129088).

3131242054512 is an abundant number, since it is smaller than the sum of its proper divisors (6384948203664).

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

3131242054512 is a wasteful number, since it uses less digits than its factorization.

3131242054512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623119 (or 623113 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 3131242054512 its reverse (2154502421313), we get a palindrome (5285744475825).

The spelling of 3131242054512 in words is "three trillion, one hundred thirty-one billion, two hundred forty-two million, fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 733 858 1144 1466 1716 2199 2288 2932 3432 4398 5864 6864 8063 8796 9529 11728 16126 17592 19058 24189 28587 32252 35184 38116 48378 57174 64504 76232 96756 104819 114348 129008 152464 193512 209638 228696 314457 387024 419276 457392 622351 628914 838552 1244702 1257828 1677104 1867053 2489404 2515656 3734106 4978808 5031312 6845861 7468212 8090563 9957616 13691722 14936424 16181126 20537583 24271689 27383444 29872848 32362252 41075166 48543378 54766888 64724504 82150332 88996193 97086756 109533776 129449008 164300664 177992386 194173512 266988579 328601328 355984772 388347024 456183283 533977158 711969544 912366566 1067954316 1368549849 1423939088 1824733132 2135908632 2737099698 3649466264 4271817264 5018016113 5474199396 5930382679 7298932528 10036032226 10948398792 11860765358 15054048339 17791148037 20072064452 21896797584 23721530716 30108096678 35582296074 40144128904 47443061432 60216193356 65234209469 71164592148 80288257808 94886122864 120432386712 130468418938 142329184296 195702628407 240864773424 260936837876 284658368592 391405256814 521873675752 782810513628 1043747351504 1565621027256 3131242054512