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31523105245140 = 22325433134043321
BaseRepresentation
bin1110010101011100010110…
…11111011000011111010100
311010121120122101220221222200
413022232023133120133110
513112433304420321030
6151013303054324500
76432316635353415
oct712561337303724
9133546571827880
1031523105245140
11a053968118063
1236514801b9730
131478801673a32
147ada2549d80c
15399ec5821d60
hex1cab8b7d87d4

31523105245140 has 72 divisors (see below), whose sum is σ = 95622317212968. Its totient is φ = 8405965240320.

The previous prime is 31523105245091. The next prime is 31523105245207. The reversal of 31523105245140 is 4154250132513.

31523105245140 is a `hidden beast` number, since 3 + 1 + 52 + 31 + 0 + 524 + 51 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11799966971664 + 19723138273476 = 3435108^2 + 4441074^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31523105245095 and 31523105245104.

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, 5774680 + ... + 9818000.

It is an arithmetic number, because the mean of its divisors is an integer number (1328087739069).

Almost surely, 231523105245140 is an apocalyptic number.

31523105245140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31523105245140 is an abundant number, since it is smaller than the sum of its proper divisors (64099211967828).

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

31523105245140 is a wasteful number, since it uses less digits than its factorization.

31523105245140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086649 (or 4086644 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 31523105245140 its reverse (4154250132513), we get a palindrome (35677355377653).

The spelling of 31523105245140 in words is "thirty-one trillion, five hundred twenty-three billion, one hundred five million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 43313 86626 129939 173252 216565 259878 389817 433130 519756 649695 779634 866260 1299390 1559268 1949085 2598780 3898170 4043321 7796340 8086642 12129963 16173284 20216605 24259926 36389889 40433210 48519852 60649815 72779778 80866420 121299630 145559556 181949445 242599260 363898890 727797780 175128362473 350256724946 525385087419 700513449892 875641812365 1050770174838 1576155262257 1751283624730 2101540349676 2626925437095 3152310524514 3502567249460 5253850874190 6304621049028 7880776311285 10507701748380 15761552622570 31523105245140