Search a number
-
+
10106561515611 = 3111637187085791
BaseRepresentation
bin1001001100010001111000…
…0000100101000001011011
31022210011210122112010100210
42103010132000211001123
52311041214221444421
633254520144102203
72062114005314031
oct223043600450133
938704718463323
1010106561515611
1132471945529a0
121172877004963
13584077176882
1426d2357a8551
15127d65230576
hex9311e02505b

10106561515611 has 16 divisors (see below), whose sum is σ = 14709433310208. Its totient is φ = 6121447048800.

The previous prime is 10106561515577. The next prime is 10106561515651. The reversal of 10106561515611 is 11651516560101.

It is not a de Polignac number, because 10106561515611 - 217 = 10106561384539 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10106561515611.

It is not an unprimeable number, because it can be changed into a prime (10106561515651) 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 15 ways as a sum of consecutive naturals, for example, 93488875 + ... + 93596916.

It is an arithmetic number, because the mean of its divisors is an integer number (919339581888).

Almost surely, 210106561515611 is an apocalyptic number.

10106561515611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10106561515611 is a deficient number, since it is larger than the sum of its proper divisors (4602871794597).

10106561515611 is a wasteful number, since it uses less digits than its factorization.

10106561515611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187087442.

The product of its (nonzero) digits is 27000, while the sum is 39.

The spelling of 10106561515611 in words is "ten trillion, one hundred six billion, five hundred sixty-one million, five hundred fifteen thousand, six hundred eleven".

Divisors: 1 3 11 33 1637 4911 18007 54021 187085791 561257373 2057943701 6173831103 306259439867 918778319601 3368853838537 10106561515611