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1807100465130 = 23251031180116519
BaseRepresentation
bin11010010010111111100…
…101001100111111101010
320101202102221100011111200
4122102333211030333222
5214101420204341010
63502100454305030
7244362430340412
oct32227745147752
96352387304450
101807100465130
11637429113194
1225228a358176
131015412c556c
146366d7db642
15320180b9cc0
hex1a4bf94cfea

1807100465130 has 96 divisors (see below), whose sum is σ = 4744766557440. Its totient is φ = 477145555200.

The previous prime is 1807100465119. The next prime is 1807100465179. The reversal of 1807100465130 is 315640017081.

1807100465130 is a `hidden beast` number, since 1 + 80 + 7 + 100 + 465 + 13 + 0 = 666.

It is a super-2 number, since 2×18071004651302 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109387011 + ... + 109403529.

It is an arithmetic number, because the mean of its divisors is an integer number (49424651640).

Almost surely, 21807100465130 is an apocalyptic number.

1807100465130 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 1807100465130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372383278720).

1807100465130 is an abundant number, since it is smaller than the sum of its proper divisors (2937666092310).

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

1807100465130 is a wasteful number, since it uses less digits than its factorization.

1807100465130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28436 (or 28433 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1807100465130 in words is "one trillion, eight hundred seven billion, one hundred million, four hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 11801 16519 23602 33038 35403 49557 59005 70806 82595 99114 106209 118010 148671 165190 177015 212418 247785 297342 354030 495570 531045 743355 1062090 1215503 1486710 1701457 2431006 3402914 3646509 5104371 6077515 7293018 8507285 10208742 10939527 12155030 15313113 17014570 18232545 21879054 25521855 30626226 36465090 51043710 54697635 76565565 109395270 153131130 194940719 389881438 584822157 974703595 1169644314 1754466471 1949407190 2924110785 3508932942 5848221570 8772332355 17544664710 20078894057 40157788114 60236682171 100394470285 120473364342 180710046513 200788940570 301183410855 361420093026 602366821710 903550232565 1807100465130