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101370326512 = 24713101368729
BaseRepresentation
bin101111001101000100…
…1000110110111110000
3100200122200011010211111
41132122021012313300
53130101300422022
6114322513523104
710216023362350
oct1363211066760
9320580133744
10101370326512
1139a999a7754
1217790873494
13973669ba30
144c9904ab60
1529846bc477
hex179a246df0

101370326512 has 80 divisors (see below), whose sum is σ = 241971387840. Its totient is φ = 40062375936.

The previous prime is 101370326501. The next prime is 101370326513. The reversal of 101370326512 is 215623073101.

It is a happy number.

It is a super-2 number, since 2×1013703265122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101370326513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1440564 + ... + 1509292.

It is an arithmetic number, because the mean of its divisors is an integer number (3024642348).

Almost surely, 2101370326512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101370326512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120985693920).

101370326512 is an abundant number, since it is smaller than the sum of its proper divisors (140601061328).

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

101370326512 is a wasteful number, since it uses less digits than its factorization.

101370326512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69770 (or 69764 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 101370326512 its reverse (215623073101), we get a palindrome (316993399613).

The spelling of 101370326512 in words is "one hundred one billion, three hundred seventy million, three hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1013 1456 2026 4052 7091 8104 13169 14182 16208 26338 28364 52676 56728 68729 92183 105352 113456 137458 184366 210704 274916 368732 481103 549832 737464 893477 962206 1099664 1474928 1786954 1924412 3573908 3848824 6254339 7147816 7697648 12508678 14295632 25017356 50034712 69622477 100069424 139244954 278489908 487357339 556979816 905092201 974714678 1113959632 1810184402 1949429356 3620368804 3898858712 6335645407 7240737608 7797717424 12671290814 14481475216 25342581628 50685163256 101370326512