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130552138350 = 232521719388423
BaseRepresentation
bin111100110010110000…
…0111000101001101110
3110110222101212210001100
41321211200320221232
54114332321411400
6135550321223530
712301126603104
oct1714540705156
9413871783040
10130552138350
1150404307917
1221375791ba6
13c4073b340a
146466953c74
1535e157a100
hex1e65838a6e

130552138350 has 144 divisors (see below), whose sum is σ = 373310919072. Its totient is φ = 32595886080.

The previous prime is 130552138349. The next prime is 130552138373. The reversal of 130552138350 is 53831255031.

130552138350 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 521 + 3 + 83 + 50 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1432239 + ... + 1520661.

It is an arithmetic number, because the mean of its divisors is an integer number (2592436938).

Almost surely, 2130552138350 is an apocalyptic number.

130552138350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130552138350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186655459536).

130552138350 is an abundant number, since it is smaller than the sum of its proper divisors (242758780722).

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

130552138350 is a wasteful number, since it uses less digits than its factorization.

130552138350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88651 (or 88643 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 130552138350 in words is "one hundred thirty billion, five hundred fifty-two million, one hundred thirty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 193 225 255 306 386 425 450 510 579 765 850 965 1158 1275 1530 1737 1930 2550 2895 3281 3474 3825 4825 5790 6562 7650 8685 9650 9843 14475 16405 17370 19686 28950 29529 32810 43425 49215 59058 82025 86850 88423 98430 147645 164050 176846 246075 265269 295290 442115 492150 530538 738225 795807 884230 1326345 1476450 1503191 1591614 2210575 2652690 3006382 3979035 4421150 4509573 6631725 7515955 7958070 9019146 13263450 13528719 15031910 17065639 19895175 22547865 27057438 34131278 37579775 39790350 45095730 51196917 67643595 75159550 85328195 102393834 112739325 135287190 153590751 170656390 225478650 255984585 290115863 307181502 338217975 426640975 511969170 580231726 676435950 767953755 853281950 870347589 1279922925 1450579315 1535907510 1740695178 2559845850 2611042767 2901158630 3839768775 4351737945 5222085534 7252896575 7679537550 8703475890 13055213835 14505793150 21758689725 26110427670 43517379450 65276069175 130552138350