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101031507152 = 242310124111279
BaseRepresentation
bin101111000010111110…
…0100111010011010000
3100122210001121100001022
41132011330213103100
53123403031212102
6114225131455012
710204440432662
oct1360574472320
9318701540038
10101031507152
1139935719754
12176b72b7468
1396b142b8c4
144c66050532
152964a915a2
hex1785f274d0

101031507152 has 80 divisors (see below), whose sum is σ = 207156026880. Its totient is φ = 47638272000.

The previous prime is 101031507139. The next prime is 101031507163. The reversal of 101031507152 is 251705130101.

It is a super-2 number, since 2×1010315071522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8951849 + ... + 8963127.

It is an arithmetic number, because the mean of its divisors is an integer number (2589450336).

Almost surely, 2101031507152 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 101031507152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103578013440).

101031507152 is an abundant number, since it is smaller than the sum of its proper divisors (106124519728).

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

101031507152 is a wasteful number, since it uses less digits than its factorization.

101031507152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 101031507152 its reverse (251705130101), we get a palindrome (352736637253).

The spelling of 101031507152 in words is "one hundred one billion, thirty-one million, five hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 101 184 202 241 368 404 482 808 964 1616 1928 2323 3856 4646 5543 9292 11086 11279 18584 22172 22558 24341 37168 44344 45116 48682 88688 90232 97364 180464 194728 259417 389456 518834 559843 1037668 1119686 1139179 2075336 2239372 2278358 2718239 4150672 4478744 4556716 5436478 8957488 9113432 10872956 18226864 21745912 26201117 43491824 52402234 62519497 104804468 125038994 209608936 250077988 274542139 419217872 500155976 549084278 1000311952 1098168556 2196337112 4392674224 6314469197 12628938394 25257876788 50515753576 101031507152