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10110452672130 = 2352938811305587
BaseRepresentation
bin1001001100100000010111…
…1100001010011010000010
31022210112211211102100121220
42103020011330022122002
52311122201341002010
633300402225055510
72062312304513466
oct223100574123202
938715754370556
1010110452672130
113248900a55428
121173582187596
13584547379455
1426d4c44a84a6
15127ee1b55970
hex93205f0a682

10110452672130 has 64 divisors (see below), whose sum is σ = 24375557743488. Its totient is φ = 2683867028480.

The previous prime is 10110452672107. The next prime is 10110452672149. The reversal of 10110452672130 is 3127625401101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110452672091 and 10110452672100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7091197 + ... + 8396783.

It is an arithmetic number, because the mean of its divisors is an integer number (380868089742).

Almost surely, 210110452672130 is an apocalyptic number.

10110452672130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10110452672130 is an abundant number, since it is smaller than the sum of its proper divisors (14265105071358).

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

10110452672130 is a wasteful number, since it uses less digits than its factorization.

10110452672130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306771.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10110452672130 in words is "ten trillion, one hundred ten billion, four hundred fifty-two million, six hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 293 586 879 881 1465 1758 1762 2643 2930 4395 4405 5286 8790 8810 13215 26430 258133 516266 774399 1290665 1305587 1548798 2581330 2611174 3871995 3916761 6527935 7743990 7833522 13055870 19583805 39167610 382536991 765073982 1147610973 1150222147 1912684955 2295221946 2300444294 3450666441 3825369910 5738054865 5751110735 6901332882 11476109730 11502221470 17253332205 34506664410 337015089071 674030178142 1011045267213 1685075445355 2022090534426 3370150890710 5055226336065 10110452672130