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101316136572 = 22327402048161
BaseRepresentation
bin101111001011011101…
…0011000111001111100
3100200111220012000012200
41132112322120321330
53124443412332242
6114313300231500
710214464644240
oct1362672307174
9320456160180
10101316136572
1139a71354a82
121777669b590
1397283a7491
144c91b82420
15297ea6604c
hex1796e98e7c

101316136572 has 36 divisors (see below), whose sum is σ = 292691061936. Its totient is φ = 28947467520.

The previous prime is 101316136561. The next prime is 101316136577. The reversal of 101316136572 is 275631613101.

101316136572 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 613 + 6 + 5 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1013161365722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101316136577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201023829 + ... + 201024332.

It is an arithmetic number, because the mean of its divisors is an integer number (8130307276).

Almost surely, 2101316136572 is an apocalyptic number.

101316136572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101316136572 is an abundant number, since it is smaller than the sum of its proper divisors (191374925364).

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

101316136572 is a wasteful number, since it uses less digits than its factorization.

101316136572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402048178 (or 402048173 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 101316136572 its reverse (275631613101), we get a palindrome (376947749673).

The spelling of 101316136572 in words is "one hundred one billion, three hundred sixteen million, one hundred thirty-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 402048161 804096322 1206144483 1608192644 2412288966 2814337127 3618433449 4824577932 5628674254 7236866898 8443011381 11257348508 14473733796 16886022762 25329034143 33772045524 50658068286 101316136572