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106060101516 = 2233982037977
BaseRepresentation
bin110001011000110101…
…1001011011110001100
3101010202111210101201000
41202301223023132030
53214202341222031
6120420124020300
710443160662645
oct1426153133614
9333674711630
10106060101516
1140a86187066
121867b391690
13a00318c725
1451c1c366cc
152b5b2953e6
hex18b1acb78c

106060101516 has 24 divisors (see below), whose sum is σ = 274970633840. Its totient is φ = 35353367136.

The previous prime is 106060101493. The next prime is 106060101541. The reversal of 106060101516 is 615101060601.

106060101516 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 601 + 0 + 1 + 51 + 6 = 666.

It is a super-2 number, since 2×1060601015162 (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 106060101516.

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 7 ways as a sum of consecutive naturals, for example, 491018881 + ... + 491019096.

Almost surely, 2106060101516 is an apocalyptic number.

It is an amenable number.

106060101516 is an abundant number, since it is smaller than the sum of its proper divisors (168910532324).

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

106060101516 is a wasteful number, since it uses less digits than its factorization.

106060101516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982037990 (or 982037982 counting only the distinct ones).

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

The spelling of 106060101516 in words is "one hundred six billion, sixty million, one hundred one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 982037977 1964075954 2946113931 3928151908 5892227862 8838341793 11784455724 17676683586 26515025379 35353367172 53030050758 106060101516