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130442240020 = 225235323322963
BaseRepresentation
bin111100101111011110…
…1101010000000010100
3110110200202002100212211
41321132331222000110
54114121203140040
6135531353523204
712265323513601
oct1713675520024
9413622070784
10130442240020
1150358275654
1221344a13504
13c3ba6b5411
1464561076a8
1535d6abc8ea
hex1e5ef6a014

130442240020 has 96 divisors (see below), whose sum is σ = 292494488832. Its totient is φ = 48754387968.

The previous prime is 130442239973. The next prime is 130442240053. The reversal of 130442240020 is 20042244031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130442239973 and 130442240000.

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 31 ways as a sum of consecutive naturals, for example, 5669059 + ... + 5692021.

It is an arithmetic number, because the mean of its divisors is an integer number (3046817592).

Almost surely, 2130442240020 is an apocalyptic number.

130442240020 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 130442240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146247244416).

130442240020 is an abundant number, since it is smaller than the sum of its proper divisors (162052248812).

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

130442240020 is a wasteful number, since it uses less digits than its factorization.

130442240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23281 (or 23279 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 130442240020 its reverse (20042244031), we get a palindrome (150484484051).

The spelling of 130442240020 in words is "one hundred thirty billion, four hundred forty-two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 233 265 460 466 530 932 1060 1165 1219 2330 2438 4660 4876 5359 6095 10718 12190 12349 21436 22963 24380 24698 26795 45926 49396 53590 61745 91852 107180 114815 123490 229630 246980 284027 459260 528149 568054 1056298 1136108 1217039 1420135 2112596 2434078 2640745 2840270 4868156 5281490 5350379 5680540 6085195 10562980 10700758 12170390 21401516 24340780 26751895 27991897 53503790 55983794 107007580 111967588 123058717 139959485 246117434 279918970 283570087 492234868 559837940 567140174 615293585 1134280348 1230587170 1417850435 2461174340 2835700870 5671401740 6522112001 13044224002 26088448004 32610560005 65221120010 130442240020