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1002343231100 = 2252194312268583
BaseRepresentation
bin11101001011000000100…
…11111110111001111100
310112211020000121220021002
432211200103332321330
5112410244331343400
62044245314025432
7132262666613411
oct16454023767174
93484200556232
101002343231100
11357100694122
12142316878278
137369c899113
143672972a108
151b117326ed5
hexe9604fee7c

1002343231100 has 72 divisors (see below), whose sum is σ = 2342808800640. Its totient is φ = 371001919680.

The previous prime is 1002343231091. The next prime is 1002343231117. The reversal of 1002343231100 is 11323432001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6052592 + ... + 6215991.

It is an arithmetic number, because the mean of its divisors is an integer number (32539011120).

Almost surely, 21002343231100 is an apocalyptic number.

1002343231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002343231100 is an abundant number, since it is smaller than the sum of its proper divisors (1340465569540).

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

1002343231100 is a wasteful number, since it uses less digits than its factorization.

1002343231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268659 (or 12268652 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1002343231100 its reverse (11323432001), we get a palindrome (1013666663101).

The spelling of 1002343231100 in words is "one trillion, two billion, three hundred forty-three million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 817 860 950 1075 1634 1900 2150 3268 4085 4300 8170 16340 20425 40850 81700 12268583 24537166 49074332 61342915 122685830 233103077 245371660 306714575 466206154 527549069 613429150 932412308 1055098138 1165515385 1226858300 2110196276 2331030770 2637745345 4662061540 5275490690 5827576925 10023432311 10550981380 11655153850 13188726725 20046864622 23310307700 26377453450 40093729244 50117161555 52754906900 100234323110 200468646220 250585807775 501171615550 1002343231100