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31540253000 = 2353171939613
BaseRepresentation
bin11101010111111100…
…100001000101001000
310000102002112212021112
4131113330201011020
51004043301044000
622253413025452
72164411504244
oct352774410510
9100362485245
1031540253000
11124157179a3
126142925288
132c8850c0c9
141752c29424
15c48e75235
hex757f21148

31540253000 has 128 divisors (see below), whose sum is σ = 78558685920. Its totient is φ = 11811225600.

The previous prime is 31540252969. The next prime is 31540253009. The reversal of 31540253000 is 35204513.

It can be written as a sum of positive squares in 16 ways, for example, as 816473476 + 30723779524 = 28574^2 + 175282^2 .

It is not an unprimeable number, because it can be changed into a prime (31540253009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3276194 + ... + 3285806.

Almost surely, 231540253000 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 31540253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39279342960).

31540253000 is an abundant number, since it is smaller than the sum of its proper divisors (47018432920).

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

31540253000 is a wasteful number, since it uses less digits than its factorization.

31540253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 31540253000 its reverse (35204513), we get a palindrome (31575457513).

The spelling of 31540253000 in words is "thirty-one billion, five hundred forty million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 193 200 250 340 386 425 500 680 772 850 965 1000 1544 1700 1930 2125 3281 3400 3860 4250 4825 6562 7720 8500 9613 9650 13124 16405 17000 19226 19300 24125 26248 32810 38452 38600 48065 48250 65620 76904 82025 96130 96500 131240 163421 164050 192260 193000 240325 326842 328100 384520 410125 480650 653684 656200 817105 820250 961300 1201625 1307368 1634210 1640500 1855309 1922600 2403250 3268420 3281000 3710618 4085525 4806500 6536840 7421236 8171050 9276545 9613000 14842472 16342100 18553090 20427625 31540253 32684200 37106180 40855250 46382725 63080506 74212360 81710500 92765450 126161012 157701265 163421000 185530900 231913625 252322024 315402530 371061800 463827250 630805060 788506325 927654500 1261610120 1577012650 1855309000 3154025300 3942531625 6308050600 7885063250 15770126500 31540253000