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10131099552 = 2532719925253
BaseRepresentation
bin10010110111101110…
…00100111110100000
3222011001110011220100
421123313010332200
5131222030141202
64353144342400
7506025632250
oct113367047640
928131404810
1010131099552
114329818052
121b68a74a00
13c55bcc582
146c172b960
153e465741c
hex25bdc4fa0

10131099552 has 144 divisors (see below), whose sum is σ = 33092841600. Its totient is φ = 2879940096.

The previous prime is 10131099521. The next prime is 10131099599. The reversal of 10131099552 is 25599013101.

10131099552 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 10 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 388558 + ... + 413810.

It is an arithmetic number, because the mean of its divisors is an integer number (229811400).

Almost surely, 210131099552 is an apocalyptic number.

10131099552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131099552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546420800).

10131099552 is an abundant number, since it is smaller than the sum of its proper divisors (22961742048).

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

10131099552 is a wasteful number, since it uses less digits than its factorization.

10131099552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25475 (or 25464 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 10131099552 in words is "ten billion, one hundred thirty-one million, ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 199 224 252 288 336 398 504 597 672 796 1008 1194 1393 1592 1791 2016 2388 2786 3184 3582 4179 4776 5572 6368 7164 8358 9552 11144 12537 14328 16716 19104 22288 25074 25253 28656 33432 44576 50148 50506 57312 66864 75759 100296 101012 133728 151518 176771 200592 202024 227277 303036 353542 401184 404048 454554 530313 606072 707084 808096 909108 1060626 1212144 1414168 1590939 1818216 2121252 2424288 2828336 3181878 3636432 4242504 5025347 5656672 6363756 7272864 8485008 10050694 12727512 15076041 16970016 20101388 25455024 30152082 35177429 40202776 45228123 50910048 60304164 70354858 80405552 90456246 105532287 120608328 140709716 160811104 180912492 211064574 241216656 281419432 316596861 361824984 422129148 482433312 562838864 633193722 723649968 844258296 1125677728 1266387444 1447299936 1688516592 2532774888 3377033184 5065549776 10131099552