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101906213892 = 22374129589493
BaseRepresentation
bin101111011101000010…
…1010110110000000100
3100202001000112001010020
41132322011112300010
53132200442321032
6114452015455140
710235221345260
oct1367205266004
9322030461106
10101906213892
113a24444588a
12179002274b0
1397c070a762
144d0a2a50a0
1529b6773b2c
hex17ba156c04

101906213892 has 48 divisors (see below), whose sum is σ = 278377959552. Its totient is φ = 28405912320.

The previous prime is 101906213887. The next prime is 101906213911. The reversal of 101906213892 is 298312609101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 14791303 + ... + 14798190.

It is an arithmetic number, because the mean of its divisors is an integer number (5799540824).

Almost surely, 2101906213892 is an apocalyptic number.

101906213892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101906213892 is an abundant number, since it is smaller than the sum of its proper divisors (176471745660).

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

101906213892 is a wasteful number, since it uses less digits than its factorization.

101906213892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29589548 (or 29589546 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 101906213892 in words is "one hundred one billion, nine hundred six million, two hundred thirteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 29589493 59178986 88768479 118357972 177536958 207126451 355073916 414252902 621379353 828505804 1213169213 1242758706 2426338426 2485517412 3639507639 4852676852 7279015278 8492184491 14558030556 16984368982 25476553473 33968737964 50953106946 101906213892