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130024231114020 = 223523224391167953
BaseRepresentation
bin11101100100000110100000…
…000110111001010100100100
3122001101012021020010102022020
4131210012200012321110210
5114020304111131122040
61140312150202503140
736246640441604655
oct3544064006712444
9561335236112266
10130024231114020
113847aa6a8148a1
12126bb697b04ab0
135772303710889
1424172c639952c
1510073669dccd0
hex7641a01b9524

130024231114020 has 144 divisors (see below), whose sum is σ = 380602972563072. Its totient is φ = 33164043770880.

The previous prime is 130024231114007. The next prime is 130024231114033. The reversal of 130024231114020 is 20411132420031.

It is an interprime number because it is at equal distance from previous prime (130024231114007) and next prime (130024231114033).

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 47 ways as a sum of consecutive naturals, for example, 774086364 + ... + 774254316.

Almost surely, 2130024231114020 is an apocalyptic number.

130024231114020 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 130024231114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190301486281536).

130024231114020 is an abundant number, since it is smaller than the sum of its proper divisors (250578741449052).

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

130024231114020 is a wasteful number, since it uses less digits than its factorization.

130024231114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192402 (or 192377 counting only the distinct ones).

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

Adding to 130024231114020 its reverse (20411132420031), we get a palindrome (150435363534051).

The spelling of 130024231114020 in words is "one hundred thirty trillion, twenty-four billion, two hundred thirty-one million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 1058 1380 1587 2116 2645 3174 5290 6348 7935 10580 15870 24391 31740 48782 73173 97564 121955 146346 167953 243910 292692 335906 365865 487820 503859 560993 671812 731730 839765 1007718 1121986 1463460 1679530 1682979 2015436 2243972 2519295 2804965 3359060 3365958 3862919 5038590 5609930 6731916 7725838 8414895 10077180 11219860 11588757 12902839 15451676 16829790 19314595 23177514 25805678 33659580 38629190 38708517 46355028 51611356 57943785 64514195 77258380 77417034 88847137 115887570 129028390 154834068 177694274 193542585 231775140 258056780 266541411 355388548 387085170 444235685 533082822 774170340 888471370 1066165644 1332707055 1776942740 2665414110 4096541623 5330828220 8193083246 12289624869 16386166492 20482708115 24579249738 40965416230 49158499476 61448124345 81930832460 94220457329 122896248690 188440914658 245792497380 282661371987 376881829316 471102286645 565322743974 942204573290 1130645487948 1413306859935 1884409146580 2167070518567 2826613719870 4334141037134 5653227439740 6501211555701 8668282074268 10835352592835 13002423111402 21670705185670 26004846222804 32506057778505 43341410371340 65012115557010 130024231114020