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130039090000 = 245437351457
BaseRepresentation
bin111100100011011101…
…1110000101101010000
3110102122122111020000121
41321012323300231100
54112310001340000
6135423353000024
712252330012241
oct1710673605520
9412578436017
10130039090000
1150170749016
12212519b3014
13c355010101
146418762cc8
1535b14d5b1a
hex1e46ef0b50

130039090000 has 100 divisors (see below), whose sum is σ = 323347686244. Its totient is φ = 50609664000.

The previous prime is 130039089953. The next prime is 130039090057. The reversal of 130039090000 is 90930031.

It can be written as a sum of positive squares in 10 ways, for example, as 105435285264 + 24603804736 = 324708^2 + 156856^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 19 ways as a sum of consecutive naturals, for example, 194272 + ... + 545728.

Almost surely, 2130039090000 is an apocalyptic number.

130039090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130039090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161673843122).

130039090000 is an abundant number, since it is smaller than the sum of its proper divisors (193308596244).

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

130039090000 is an equidigital number, since it uses as much as digits as its factorization.

130039090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351522 (or 351501 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 25.

The spelling of 130039090000 in words is "one hundred thirty billion, thirty-nine million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 74000 92500 185000 351457 370000 702914 1405828 1757285 2811656 3514570 5623312 7029140 8786425 13003909 14058280 17572850 26007818 28116560 35145700 43932125 52015636 65019545 70291400 87864250 104031272 130039090 140582800 175728500 208062544 219660625 260078180 325097725 351457000 439321250 520156360 650195450 702914000 878642500 1040312720 1300390900 1625488625 1757285000 2600781800 3250977250 3514570000 5201563600 6501954500 8127443125 13003909000 16254886250 26007818000 32509772500 65019545000 130039090000