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130012654000 = 24531012392693
BaseRepresentation
bin111100100010101011…
…0111010100110110000
3110102120210202010122111
41321011112322212300
54112231214412000
6135421010215104
712251556216325
oct1710526724660
9412523663574
10130012654000
1150157832289
1221244b84494
13c34c6b53c8
146415040b4c
1535ae012cba
hex1e455ba9b0

130012654000 has 160 divisors (see below), whose sum is σ = 318929944320. Its totient is φ = 51255680000.

The previous prime is 130012653989. The next prime is 130012654003. The reversal of 130012654000 is 456210031.

It is not an unprimeable number, because it can be changed into a prime (130012654003) 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 31 ways as a sum of consecutive naturals, for example, 48276654 + ... + 48279346.

It is an arithmetic number, because the mean of its divisors is an integer number (1993312152).

Almost surely, 2130012654000 is an apocalyptic number.

130012654000 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 130012654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159464972160).

130012654000 is an abundant number, since it is smaller than the sum of its proper divisors (188917290320).

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

130012654000 is a wasteful number, since it uses less digits than its factorization.

130012654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 130012654000 its reverse (456210031), we get a palindrome (130468864031).

The spelling of 130012654000 in words is "one hundred thirty billion, twelve million, six hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 239 250 400 404 478 500 505 808 956 1000 1010 1195 1616 1912 2000 2020 2390 2525 2693 3824 4040 4780 5050 5386 5975 8080 9560 10100 10772 11950 12625 13465 19120 20200 21544 23900 24139 25250 26930 29875 40400 43088 47800 48278 50500 53860 59750 67325 95600 96556 101000 107720 119500 120695 134650 193112 202000 215440 239000 241390 269300 271993 336625 386224 478000 482780 538600 543986 603475 643627 673250 965560 1077200 1087972 1206950 1287254 1346500 1359965 1931120 2175944 2413900 2574508 2693000 2719930 3017375 3218135 4351888 4827800 5149016 5386000 5439860 6034750 6436270 6799825 9655600 10298032 10879720 12069500 12872540 13599650 16090675 21759440 24139000 25745080 27199300 32181350 33999125 48278000 51490160 54398600 64362700 65006327 67998250 80453375 108797200 128725400 130012654 135996500 160906750 257450800 260025308 271993000 321813500 325031635 520050616 543986000 643627000 650063270 1040101232 1287254000 1300126540 1625158175 2600253080 3250316350 5200506160 6500632700 8125790875 13001265400 16251581750 26002530800 32503163500 65006327000 130012654000