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130322023020432 = 24327189143221087
BaseRepresentation
bin11101101000011011110101…
…111000110111011110010000
3122002102122220212010200002100
4131220123311320313132100
5114040144000343123212
61141101035540520400
736310312135211565
oct3550336570673620
9562378825120070
10130322023020432
1138585294563761
12127493459b0100
135794410c35c19
14242789615486c
15100ee953d1bdc
hex7686f5e37790

130322023020432 has 120 divisors (see below), whose sum is σ = 374013278046720. Its totient is φ = 42347610708480.

The previous prime is 130322023020419. The next prime is 130322023020457. The reversal of 130322023020432 is 234020320223031.

130322023020432 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 202 + 3 + 0 + 20 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130322023020396 and 130322023020405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70700608 + ... + 72520479.

It is an arithmetic number, because the mean of its divisors is an integer number (3116777317056).

Almost surely, 2130322023020432 is an apocalyptic number.

130322023020432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130322023020432 is an abundant number, since it is smaller than the sum of its proper divisors (243691255026288).

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

130322023020432 is a wasteful number, since it uses less digits than its factorization.

130322023020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143221261 (or 143221252 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 130322023020432 its reverse (234020320223031), we get a palindrome (364342343243463).

The spelling of 130322023020432 in words is "one hundred thirty trillion, three hundred twenty-two billion, twenty-three million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 89 142 144 178 213 267 284 356 426 534 568 639 712 801 852 1068 1136 1278 1424 1602 1704 2136 2556 3204 3408 4272 5112 6319 6408 10224 12638 12816 18957 25276 37914 50552 56871 75828 101104 113742 151656 227484 303312 454968 909936 143221087 286442174 429663261 572884348 859326522 1145768696 1288989783 1718653044 2291537392 2577979566 3437306088 5155959132 6874612176 10168697177 10311918264 12746676743 20337394354 20623836528 25493353486 30506091531 38240030229 40674788708 50986706972 61012183062 76480060458 81349577416 91518274593 101973413944 114720090687 122024366124 152960120916 162699154832 183036549186 203946827888 229440181374 244048732248 305920241832 366073098372 458880362748 488097464496 611840483664 732146196744 905014048753 917760725496 1464292393488 1810028097506 1835521450992 2715042146259 3620056195012 5430084292518 7240112390024 8145126438777 10860168585036 14480224780048 16290252877554 21720337170072 32580505755108 43440674340144 65161011510216 130322023020432