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101061056106 = 23310318169913
BaseRepresentation
bin101111000011110110…
…1010101011001101010
3100122212010012120121000
41132013231111121222
53123433112243411
6114232105055430
710205246542353
oct1360755253152
9318763176530
10101061056106
113995037127a
1217705187576
1396b75a64aa
144c69d42d2a
15296747b956
hex1787b5566a

101061056106 has 32 divisors (see below), whose sum is σ = 226760526720. Its totient is φ = 33359958432.

The previous prime is 101061056093. The next prime is 101061056111. The reversal of 101061056106 is 601650160101.

It is a super-2 number, since 2×1010610561062 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101061056106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9079395 + ... + 9090518.

It is an arithmetic number, because the mean of its divisors is an integer number (7086266460).

Almost surely, 2101061056106 is an apocalyptic number.

101061056106 is an abundant number, since it is smaller than the sum of its proper divisors (125699470614).

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

101061056106 is a wasteful number, since it uses less digits than its factorization.

101061056106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18170027 (or 18170021 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 101061056106 in words is "one hundred one billion, sixty-one million, fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 5562 18169913 36339826 54509739 109019478 163529217 327058434 490587651 981175302 1871501039 3743002078 5614503117 11229006234 16843509351 33687018702 50530528053 101061056106