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210103113024 = 2632752108907
BaseRepresentation
bin1100001110101100011…
…1110001010101000000
3202002022110002000002200
43003223013301111000
511420242344104044
6240304154513200
721115356665010
oct3035307612500
9662273060080
10210103113024
1181116803592
1234877135800
1316a744a006c
14a251c05c40
1556ea3ee369
hex30eb1f1540

210103113024 has 84 divisors (see below), whose sum is σ = 688254456864. Its totient is φ = 60029459712.

The previous prime is 210103113023. The next prime is 210103113071. The reversal of 210103113024 is 420311301012.

It is a tau number, because it is divible by the number of its divisors (84).

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 = 210103112988 and 210103113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210103113023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26050422 + ... + 26058485.

Almost surely, 2210103113024 is an apocalyptic number.

210103113024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210103113024 is an abundant number, since it is smaller than the sum of its proper divisors (478151343840).

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

210103113024 is a wasteful number, since it uses less digits than its factorization.

210103113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52108932 (or 52108919 counting only the distinct ones).

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

Adding to 210103113024 its reverse (420311301012), we get a palindrome (630414414036).

The spelling of 210103113024 in words is "two hundred ten billion, one hundred three million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 52108907 104217814 156326721 208435628 312653442 364762349 416871256 468980163 625306884 729524698 833742512 937960326 1094287047 1250613768 1459049396 1667485024 1875920652 2188574094 2501227536 2918098792 3282861141 3334970048 3751841304 4377148188 5002455072 5836197584 6565722282 7503682608 8754296376 10004910144 11672395168 13131444564 15007365216 17508592752 23344790336 26262889128 30014730432 35017185504 52525778256 70034371008 105051556512 210103113024