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130787938710 = 23551113438753
BaseRepresentation
bin111100111001110010…
…0011001000110010110
3110111120211120200100000
41321303210121012112
54120323203014320
6140025543232130
712310022064522
oct1716344310626
9414524520300
10130787938710
1150515422150
1221420748646
13c4441c3860
146489db4d82
153607106c90
hex1e73919196

130787938710 has 384 divisors, whose sum is σ = 423977089536. Its totient is φ = 28583331840.

The previous prime is 130787938693. The next prime is 130787938711. The reversal of 130787938710 is 17839787031.

It is a happy number.

It is a super-3 number, since 3×1307879387103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130787938711) 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 191 ways as a sum of consecutive naturals, for example, 14937694 + ... + 14946446.

It is an arithmetic number, because the mean of its divisors is an integer number (1104107004).

Almost surely, 2130787938710 is an apocalyptic number.

130787938710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130787938710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211988544768).

130787938710 is an abundant number, since it is smaller than the sum of its proper divisors (293189150826).

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

130787938710 is a wasteful number, since it uses less digits than its factorization.

130787938710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 130787938710 in words is "one hundred thirty billion, seven hundred eighty-seven million, nine hundred thirty-eight thousand, seven hundred ten".