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101009190984 = 23313349927643
BaseRepresentation
bin101111000010010011…
…1011111000001001000
3100122201111121120000120
41132010213133001020
53123331323102414
6114223013303240
710204046646162
oct1360447370110
9318644546016
10101009190984
1139924067239
12176ab934b20
1396a9917180
144c630c1932
152962b342a9
hex17849df048

101009190984 has 64 divisors (see below), whose sum is σ = 272727336000. Its totient is φ = 30990663936.

The previous prime is 101009190983. The next prime is 101009191013. The reversal of 101009190984 is 489091900101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101009190983) 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, 354934 + ... + 572709.

It is an arithmetic number, because the mean of its divisors is an integer number (4261364625).

Almost surely, 2101009190984 is an apocalyptic number.

It is an amenable number.

101009190984 is an abundant number, since it is smaller than the sum of its proper divisors (171718145016).

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

101009190984 is a wasteful number, since it uses less digits than its factorization.

101009190984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928014 (or 928010 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 101009190984 in words is "one hundred one billion, nine million, one hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 349 698 1047 1396 2094 2792 4188 4537 8376 9074 13611 18148 27222 36296 54444 108888 927643 1855286 2782929 3710572 5565858 7421144 11131716 12059359 22263432 24118718 36178077 48237436 72356154 96474872 144712308 289424616 323747407 647494814 971242221 1294989628 1942484442 2589979256 3884968884 4208716291 7769937768 8417432582 12626148873 16834865164 25252297746 33669730328 50504595492 101009190984