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31095192200 = 23523723372
BaseRepresentation
bin11100111101011010…
…101111101010001000
32222021002002102122012
4130331122233222020
51002140332122300
622141313515052
72150365526012
oct347532575210
988232072565
1031095192200
1112207475156
126039872a88
132c17251617
14170da951b2
15c1ed60435
hex73d6afa88

31095192200 has 108 divisors (see below), whose sum is σ = 74524224285. Its totient is φ = 12066001920.

The previous prime is 31095192181. The next prime is 31095192221. The reversal of 31095192200 is 229159013.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 169156036 + 30926036164 = 13006^2 + 175858^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=124690.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92270432 + ... + 92270768.

Almost surely, 231095192200 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 31095192200

31095192200 is an abundant number, since it is smaller than the sum of its proper divisors (43429032085).

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

31095192200 is an equidigital number, since it uses as much as digits as its factorization.

31095192200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

Multiplying 31095192200 by its sum of digits (32), we get a square (995046150400 = 9975202).

The spelling of 31095192200 in words is "thirty-one billion, ninety-five million, one hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 337 370 674 740 925 1348 1369 1480 1685 1850 2696 2738 3370 3700 5476 6740 6845 7400 8425 10952 12469 13480 13690 16850 24938 27380 33700 34225 49876 54760 62345 67400 68450 99752 113569 124690 136900 227138 249380 273800 311725 454276 461353 498760 567845 623450 908552 922706 1135690 1246900 1845412 2271380 2306765 2493800 2839225 3690824 4202053 4542760 4613530 5678450 8404106 9227060 11356900 11533825 16808212 18454120 21010265 22713800 23067650 33616424 42020530 46135300 84041060 92270600 105051325 155475961 168082120 210102650 310951922 420205300 621903844 777379805 840410600 1243807688 1554759610 3109519220 3886899025 6219038440 7773798050 15547596100 31095192200