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10331909316 = 223456472
BaseRepresentation
bin10011001111101010…
…00110110011000100
3222200001022101010000
421213311012303010
5132124432044231
64425120401300
7514014531411
oct114765066304
928601271100
1010331909316
114422103433
122004176230
13c886ab311
14700281108
154070c16e6
hex267d46cc4

10331909316 has 45 divisors (see below), whose sum is σ = 27014435679. Its totient is φ = 3443359896.

The previous prime is 10331909311. The next prime is 10331909321. The reversal of 10331909316 is 61390913301.

The square root of 10331909316 is 101646.

It is a perfect power (a square), and thus also a powerful number.

10331909316 is a `hidden beast` number, since 1 + 0 + 331 + 9 + 0 + 9 + 316 = 666.

10331909316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10331909311) and next prime (10331909321).

It is a super-2 number, since 2×103319093162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10331909311) 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 14 ways as a sum of consecutive naturals, for example, 1826805 + ... + 1832451.

Almost surely, 210331909316 is an apocalyptic number.

10331909316 is the 101646-th square number.

It is an amenable number.

10331909316 is an abundant number, since it is smaller than the sum of its proper divisors (16682526363).

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

10331909316 is an frugal number, since it uses more digits than its factorization.

10331909316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

Multiplying 10331909316 by its sum of digits (36), we get a square (371948735376 = 6098762).

10331909316 divided by its sum of digits (36) gives a square (286997481 = 169412).

The spelling of 10331909316 in words is "ten billion, three hundred thirty-one million, nine hundred nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5647 11294 16941 22588 33882 50823 67764 101646 152469 203292 304938 457407 609876 914814 1829628 31888609 63777218 95665827 127554436 191331654 286997481 382663308 573994962 860992443 1147989924 1721984886 2582977329 3443969772 5165954658 10331909316