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100130320031022 = 232199714920257297
BaseRepresentation
bin10110110001000101101000…
…001010000001110100101110
3111010112100212011110000221100
4112301011220022001310232
5101111013343411443042
6552543122313143530
730043114450134531
oct2661055012016456
9433470764400840
10100130320031022
11299a50372a1356
12b291b156baba6
1343b433040cb38
141aa24949c6a18
15b8994579c24c
hex5b1168281d2e

100130320031022 has 96 divisors (see below), whose sum is σ = 232270178868000. Its totient is φ = 31084091449344.

The previous prime is 100130320031009. The next prime is 100130320031023. The reversal of 100130320031022 is 220130023031001.

100130320031022 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 30 + 320 + 0 + 310 + 2 + 2 = 666.

It is a super-3 number, since 3×1001303200310223 (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100130320030986 and 100130320031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130320031023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5185723 + ... + 15071574.

It is an arithmetic number, because the mean of its divisors is an integer number (2419481029875).

Almost surely, 2100130320031022 is an apocalyptic number.

100130320031022 is an abundant number, since it is smaller than the sum of its proper divisors (132139858836978).

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

100130320031022 is a wasteful number, since it uses less digits than its factorization.

100130320031022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20257570 (or 20257567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100130320031022 its reverse (220130023031001), we get a palindrome (320260343062023).

The spelling of 100130320031022 in words is "one hundred trillion, one hundred thirty billion, three hundred twenty million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 149 171 194 291 298 342 447 582 873 894 1341 1746 1843 2682 2831 3686 5529 5662 8493 11058 14453 16587 16986 25479 28906 33174 43359 50958 86718 130077 260154 274607 549214 823821 1647642 2471463 4942926 20257297 40514594 60771891 121543782 182315673 364631346 384888643 769777286 1154665929 1964957809 2309331858 3018337253 3463997787 3929915618 5894873427 6036674506 6927995574 9055011759 11789746854 17684620281 18110023518 27165035277 35369240562 37334198371 54330070554 57348407807 74668396742 112002595113 114696815614 172045223421 224005190226 292778713541 336007785339 344090446842 516135670263 585557427082 672015570678 878336140623 1032271340526 1756672281246 2635008421869 5270016843738 5562795557279 11125591114558 16688386671837 33376773343674 50065160015511 100130320031022