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10131001040 = 245136792639
BaseRepresentation
bin10010110111101101…
…01100111011010000
3222011001021011202202
421123312230323100
5131222014013130
64353142302332
7506025042116
oct113366547320
928131234682
1010131001040
114329760036
121b68a279a8
13c55b96794
146c1703ab6
153e4638145
hex25bdaced0

10131001040 has 40 divisors (see below), whose sum is σ = 23572062720. Its totient is φ = 4049392256.

The previous prime is 10131001037. The next prime is 10131001073. The reversal of 10131001040 is 4010013101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63041 + ... + 155679.

It is an arithmetic number, because the mean of its divisors is an integer number (589301568).

Almost surely, 210131001040 is an apocalyptic number.

10131001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131001040 is an abundant number, since it is smaller than the sum of its proper divisors (13441061680).

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

10131001040 is a wasteful number, since it uses less digits than its factorization.

10131001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94019 (or 94013 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10131001040 its reverse (4010013101), we get a palindrome (14141014141).

The spelling of 10131001040 in words is "ten billion, one hundred thirty-one million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1367 2734 5468 6835 10936 13670 21872 27340 54680 92639 109360 185278 370556 463195 741112 926390 1482224 1852780 3705560 7411120 126637513 253275026 506550052 633187565 1013100104 1266375130 2026200208 2532750260 5065500520 10131001040