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130440011213000 = 23536719131017703
BaseRepresentation
bin11101101010001001101110…
…100010000110100011001000
3122002211221110122201212121102
4131222021232202012203020
5114044112120332304000
61141231151445200532
736321660035254316
oct3552115642064310
9562757418655542
10130440011213000
1138620330847105
1212768193a00148
1357a25953a0798
14242d48a20b0b6
15101309d9413d5
hex76a26e8868c8

130440011213000 has 128 divisors (see below), whose sum is σ = 309947533758720. Its totient is φ = 51370340313600.

The previous prime is 130440011212967. The next prime is 130440011213009. The reversal of 130440011213000 is 312110044031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130440011213009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127662149 + ... + 128679851.

It is an arithmetic number, because the mean of its divisors is an integer number (2421465107490).

Almost surely, 2130440011213000 is an apocalyptic number.

130440011213000 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 130440011213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154973766879360).

130440011213000 is an abundant number, since it is smaller than the sum of its proper divisors (179507522545720).

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

130440011213000 is a wasteful number, since it uses less digits than its factorization.

130440011213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019704 (or 1019690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 130440011213000 its reverse (312110044031), we get a palindrome (130752121257031).

The spelling of 130440011213000 in words is "one hundred thirty trillion, four hundred forty billion, eleven million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 1913 2680 3350 3826 6700 7652 8375 9565 13400 15304 16750 19130 33500 38260 47825 67000 76520 95650 128171 191300 239125 256342 382600 478250 512684 640855 956500 1017703 1025368 1281710 1913000 2035406 2563420 3204275 4070812 5088515 5126840 6408550 8141624 10177030 12817100 16021375 20354060 25442575 25634200 32042750 40708120 50885150 64085500 68186101 101770300 127212875 128171000 136372202 203540600 254425750 272744404 340930505 508851500 545488808 681861010 1017703000 1363722020 1704652525 1946865839 2727444040 3409305050 3893731678 6818610100 7787463356 8523262625 9734329195 13637220200 15574926712 17046525250 19468658390 34093050500 38937316780 48671645975 68186101000 77874633560 97343291950 130440011213 194686583900 243358229875 260880022426 389373167800 486716459750 521760044852 652200056065 973432919500 1043520089704 1304400112130 1946865839000 2608800224260 3261000280325 5217600448520 6522000560650 13044001121300 16305001401625 26088002242600 32610002803250 65220005606500 130440011213000