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130031240000 = 26549833307
BaseRepresentation
bin111100100011001110…
…1110100001101000000
3110102122002201101211212
41321012131310031000
54112300444140000
6135422512425252
712252203206034
oct1710635641500
9412562641755
10130031240000
1150167277212
122124b248228
13c3534c203c
1464176bc1c4
1535b0984c35
hex1e46774340

130031240000 has 140 divisors (see below), whose sum is σ = 322860826464. Its totient is φ = 51943872000.

The previous prime is 130031239981. The next prime is 130031240039. The reversal of 130031240000 is 42130031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39318347 + ... + 39321653.

Almost surely, 2130031240000 is an apocalyptic number.

130031240000 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 130031240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161430413232).

130031240000 is an abundant number, since it is smaller than the sum of its proper divisors (192829586464).

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

130031240000 is an frugal number, since it uses more digits than its factorization.

130031240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130031240000 its reverse (42130031), we get a palindrome (130073370031).

The spelling of 130031240000 in words is "one hundred thirty billion, thirty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 983 1000 1250 1600 1966 2000 2500 3307 3932 4000 4915 5000 6614 7864 8000 9830 10000 13228 15728 16535 19660 20000 24575 26456 31456 33070 39320 40000 49150 52912 62912 66140 78640 82675 98300 105824 122875 132280 157280 165350 196600 211648 245750 264560 314560 330700 393200 413375 491500 529120 614375 661400 786400 826750 983000 1058240 1228750 1322800 1572800 1653500 1966000 2066875 2457500 2645600 3250781 3307000 3932000 4133750 4915000 5291200 6501562 6614000 7864000 8267500 9830000 13003124 13228000 16253905 16535000 19660000 26006248 26456000 32507810 33070000 39320000 52012496 65015620 66140000 81269525 104024992 130031240 132280000 162539050 208049984 260062480 325078100 406347625 520124960 650156200 812695250 1040249920 1300312400 1625390500 2031738125 2600624800 3250781000 4063476250 5201249600 6501562000 8126952500 13003124000 16253905000 26006248000 32507810000 65015620000 130031240000