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130420600080 = 24353831418849
BaseRepresentation
bin111100101110110101…
…1000110110100010000
3110110122020100221110120
41321131223012310100
54114100133200310
6135525302030240
712264641544441
oct1713553066420
9413566327416
10130420600080
1150347035201
1221339718380
13c3b6079714
1464532b32c8
1535d4c45b70
hex1e5dac6d10

130420600080 has 80 divisors (see below), whose sum is σ = 405359769600. Its totient is φ = 34687995904.

The previous prime is 130420600069. The next prime is 130420600081. The reversal of 130420600080 is 80006024031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130420600080.

It is not an unprimeable number, because it can be changed into a prime (130420600081) 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 15 ways as a sum of consecutive naturals, for example, 617505 + ... + 801344.

It is an arithmetic number, because the mean of its divisors is an integer number (5066997120).

Almost surely, 2130420600080 is an apocalyptic number.

130420600080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130420600080 is an abundant number, since it is smaller than the sum of its proper divisors (274939169520).

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

130420600080 is a wasteful number, since it uses less digits than its factorization.

130420600080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419248 (or 1419242 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 130420600080 in words is "one hundred thirty billion, four hundred twenty million, six hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 383 766 1149 1532 1915 2298 3064 3830 4596 5745 6128 7660 9192 11490 15320 18384 22980 30640 45960 91920 1418849 2837698 4256547 5675396 7094245 8513094 11350792 14188490 17026188 21282735 22701584 28376980 34052376 42565470 56753960 68104752 85130940 113507920 170261880 340523760 543419167 1086838334 1630257501 2173676668 2717095835 3260515002 4347353336 5434191670 6521030004 8151287505 8694706672 10868383340 13042060008 16302575010 21736766680 26084120016 32605150020 43473533360 65210300040 130420600080