Search a number
-
+
10130221312002 = 234116438840977
BaseRepresentation
bin1001001101101010000000…
…1111100010100000000010
31022212102212112121022110000
42103122200033202200002
52311433143123441002
633313432011420430
72063612220261201
oct223324017424002
938772775538400
1010130221312002
113256225922130
12117737a754716
13586377b399ac
1427043bb67238
1512879c42061c
hex936a03e2802

10130221312002 has 80 divisors (see below), whose sum is σ = 24801277308192. Its totient is φ = 3064989559680.

The previous prime is 10130221311997. The next prime is 10130221312027. The reversal of 10130221312002 is 20021312203101.

10130221312002 is a `hidden beast` number, since 1 + 0 + 130 + 221 + 312 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3274663 + ... + 5566314.

Almost surely, 210130221312002 is an apocalyptic number.

10130221312002 is an abundant number, since it is smaller than the sum of its proper divisors (14671055996190).

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

10130221312002 is a wasteful number, since it uses less digits than its factorization.

10130221312002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8841645 (or 8841636 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10130221312002 its reverse (20021312203101), we get a palindrome (30151533515103).

The spelling of 10130221312002 in words is "ten trillion, one hundred thirty billion, two hundred twenty-one million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 643 891 1286 1782 1929 3858 5787 7073 11574 14146 17361 21219 34722 42438 52083 63657 104166 127314 190971 381942 572913 1145826 8840977 17681954 26522931 53045862 79568793 97250747 159137586 194501494 238706379 291752241 477412758 583504482 716119137 875256723 1432238274 1750513446 2625770169 5251540338 5684748211 7877310507 11369496422 15754621014 17054244633 34108489266 51162733899 62532230321 102325467798 125064460642 153488201697 187596690963 306976403394 375193381926 460464605091 562790072889 920929210182 1125580145778 1688370218667 3376740437334 5065110656001 10130221312002