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10331331132 = 2234773349719
BaseRepresentation
bin10011001111100101…
…11001101000111100
3222200000012222222210
421213302321220330
5132124310044012
64425100140420
7514006602633
oct114762715074
928600188883
1010331331132
114421848aa1
122003b37710
13c885380b5
1470017051a
1540700a23c
hex267cb9a3c

10331331132 has 96 divisors (see below), whose sum is σ = 25062912000. Its totient is φ = 3310198272.

The previous prime is 10331331083. The next prime is 10331331151. The reversal of 10331331132 is 23113313301.

It is a junction number, because it is equal to n+sod(n) for n = 10331331099 and 10331331108.

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 31 ways as a sum of consecutive naturals, for example, 14368669 + ... + 14369387.

It is an arithmetic number, because the mean of its divisors is an integer number (261072000).

Almost surely, 210331331132 is an apocalyptic number.

10331331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10331331132 is an abundant number, since it is smaller than the sum of its proper divisors (14731580868).

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

10331331132 is a wasteful number, since it uses less digits than its factorization.

10331331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10331331132 its reverse (23113313301), we get a palindrome (33444644433).

The spelling of 10331331132 in words is "ten billion, three hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 73 94 141 146 188 219 282 292 349 438 564 698 719 876 1047 1396 1438 2094 2157 2876 3431 4188 4314 6862 8628 10293 13724 16403 20586 25477 32806 33793 41172 49209 50954 52487 65612 67586 76431 98418 101379 101908 104974 135172 152862 157461 196836 202758 209948 250931 305724 314922 405516 501862 629844 752793 1003724 1197419 1505586 2394838 2466889 3011172 3592257 4789676 4933778 7184514 7400667 9867556 11793757 14369028 14801334 18317963 23587514 29602668 35381271 36635926 47175028 54953889 70762542 73271852 109907778 141525084 219815556 860944261 1721888522 2582832783 3443777044 5165665566 10331331132