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101009190936 = 23343611604543
BaseRepresentation
bin101111000010010011…
…1011111000000011000
3100122201111121112221210
41132010213133000120
53123331323102221
6114223013303120
710204046646063
oct1360447370030
9318644545853
10101009190936
11399240671a5
12176ab934aa0
1396a9917144
144c630c18da
152962b34276
hex17849df018

101009190936 has 64 divisors (see below), whose sum is σ = 262631761920. Its totient is φ = 32347566720.

The previous prime is 101009190929. The next prime is 101009190937. The reversal of 101009190936 is 639091900101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101009190894 and 101009190903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009190937) 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, 739320 + ... + 865223.

It is an arithmetic number, because the mean of its divisors is an integer number (4103621280).

Almost surely, 2101009190936 is an apocalyptic number.

It is an amenable number.

101009190936 is an abundant number, since it is smaller than the sum of its proper divisors (161622570984).

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

101009190936 is a wasteful number, since it uses less digits than its factorization.

101009190936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604656 (or 1604652 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The spelling of 101009190936 in words is "one hundred one billion, nine million, one hundred ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 61 86 122 129 172 183 244 258 344 366 488 516 732 1032 1464 2623 5246 7869 10492 15738 20984 31476 62952 1604543 3209086 4813629 6418172 9627258 12836344 19254516 38509032 68995349 97877123 137990698 195754246 206986047 275981396 293631369 391508492 413972094 551962792 587262738 783016984 827944188 1174525476 1655888376 2349050952 4208716289 8417432578 12626148867 16834865156 25252297734 33669730312 50504595468 101009190936