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102001112010 = 23257269601883
BaseRepresentation
bin101111011111110111…
…1010111001111001010
3100202021122002100212100
41132333233113033022
53132344241041020
6114505245454230
710240453101210
oct1367757271712
9322248070770
10102001112010
113a292a72186
1217927b71376
139807285ca5
144d18b28cb0
1529bec6ba90
hex17bfbd73ca

102001112010 has 96 divisors (see below), whose sum is σ = 304216248960. Its totient is φ = 23227830144.

The previous prime is 102001112009. The next prime is 102001112023. The reversal of 102001112010 is 10211100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102001111983 and 102001112001.

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, 131472 + ... + 470411.

It is an arithmetic number, because the mean of its divisors is an integer number (3168919260).

Almost surely, 2102001112010 is an apocalyptic number.

102001112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102001112010 is an abundant number, since it is smaller than the sum of its proper divisors (202215136950).

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

102001112010 is a wasteful number, since it uses less digits than its factorization.

102001112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602172 (or 602169 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102001112010 its reverse (10211100201), we get a palindrome (112212212211).

The spelling of 102001112010 in words is "one hundred two billion, one million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 269 315 538 630 807 1345 1614 1883 2421 2690 3766 4035 4842 5649 8070 9415 11298 12105 16947 18830 24210 28245 33894 56490 84735 169470 601883 1203766 1805649 3009415 3611298 4213181 5416947 6018830 8426362 9028245 10833894 12639543 18056490 21065905 25279086 27084735 37918629 42131810 54169470 63197715 75837258 126395430 161906527 189593145 323813054 379186290 485719581 809532635 971439162 1133345689 1457158743 1619065270 2266691378 2428597905 2914317486 3400037067 4857195810 5666728445 6800074134 7285793715 10200111201 11333456890 14571587430 17000185335 20400222402 34000370670 51000556005 102001112010