Search a number
-
+
10342616031 = 331137941179
BaseRepresentation
bin10011010000111011…
…11100101111011111
3222200210110022222000
421220131330233133
5132140202203111
64430142053343
7514204533336
oct115035745737
928623408860
1010342616031
114428156560
12200787a253
13c8a989757
1470186ad1d
15407ed8c56
hex26877cbdf

10342616031 has 32 divisors (see below), whose sum is σ = 17167123200. Its totient is φ = 6098833440.

The previous prime is 10342616017. The next prime is 10342616051. The reversal of 10342616031 is 13061624301.

10342616031 is a `hidden beast` number, since 1 + 0 + 3 + 42 + 616 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 10342616031 - 27 = 10342615903 is a prime.

It is a super-2 number, since 2×103426160312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10342615986 and 10342616004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342616051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459601 + ... + 481578.

It is an arithmetic number, because the mean of its divisors is an integer number (536472600).

Almost surely, 210342616031 is an apocalyptic number.

10342616031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10342616031 is a deficient number, since it is larger than the sum of its proper divisors (6824507169).

10342616031 is a wasteful number, since it uses less digits than its factorization.

10342616031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941236 (or 941230 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10342616031 in words is "ten billion, three hundred forty-two million, six hundred sixteen thousand, thirty-one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 941179 2823537 8470611 10352969 25411833 31058907 34823623 93176721 104470869 279530163 313412607 383059853 940237821 1149179559 3447538677 10342616031