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10131310011020 = 22511411123205101
BaseRepresentation
bin1001001101101110000100…
…1000100110001010001100
31022212112200102011221201212
42103123201020212022030
52311442410330323040
633314132022153552
72063651210125622
oct223334110461214
938775612157655
1010131310011020
113256734418890
1211776232828b8
135864bc5618b3
142705025a3512
15128812cc2d65
hex936e122628c

10131310011020 has 48 divisors (see below), whose sum is σ = 23776005599136. Its totient is φ = 3594256320000.

The previous prime is 10131310010981. The next prime is 10131310011037. The reversal of 10131310011020 is 2011001313101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10131310010986 and 10131310011004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561593531 + ... + 561611570.

It is an arithmetic number, because the mean of its divisors is an integer number (495333449982).

Almost surely, 210131310011020 is an apocalyptic number.

10131310011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131310011020 is an abundant number, since it is smaller than the sum of its proper divisors (13644695588116).

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

10131310011020 is a wasteful number, since it uses less digits than its factorization.

10131310011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123205162 (or 1123205160 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10131310011020 its reverse (2011001313101), we get a palindrome (12142311324121).

The spelling of 10131310011020 in words is "ten trillion, one hundred thirty-one billion, three hundred ten million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 1123205101 2246410202 4492820404 5616025505 11232051010 12355256111 22464102020 24710512222 46051409141 49421024444 61776280555 92102818282 123552561110 184205636564 230257045705 247105122220 460514091410 506565500551 921028182820 1013131001102 2026262002204 2532827502755 5065655005510 10131310011020