Search a number
-
+
102323210211312 = 2436613225012929
BaseRepresentation
bin10111010000111111111010…
…100110001100111111110000
3111102022000002110012022021220
4113100333322212030333300
5101402430413303230222
61001342344524145040
730360415352126346
oct2720777246147760
9442260073168256
10102323210211312
112a670036670582
12b586b10098180
134513063cb915c
141b3a6811b1996
15bc69dc940b5c
hex5d0ffa98cff0

102323210211312 has 40 divisors (see below), whose sum is σ = 264734861397840. Its totient is φ = 34056136519680.

The previous prime is 102323210211281. The next prime is 102323210211337. The reversal of 102323210211312 is 213112012323201.

It is a super-2 number, since 2×1023232102113122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1612474737 + ... + 1612538192.

It is an arithmetic number, because the mean of its divisors is an integer number (6618371534946).

Almost surely, 2102323210211312 is an apocalyptic number.

102323210211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102323210211312 is an abundant number, since it is smaller than the sum of its proper divisors (162411651186528).

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

102323210211312 is a wasteful number, since it uses less digits than its factorization.

102323210211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225013601 (or 3225013595 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102323210211312 its reverse (213112012323201), we get a palindrome (315435222534513).

The spelling of 102323210211312 in words is "one hundred two trillion, three hundred twenty-three billion, two hundred ten million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 661 1322 1983 2644 3966 5288 7932 10576 15864 31728 3225012929 6450025858 9675038787 12900051716 19350077574 25800103432 38700155148 51600206864 77400310296 154800620592 2131733546069 4263467092138 6395200638207 8526934184276 12790401276414 17053868368552 25580802552828 34107736737104 51161605105656 102323210211312