Search a number
-
+
2313323202102 = 2311611779132297
BaseRepresentation
bin100001101010011100110…
…011101100011000110110
322012011002110201200002220
4201222130303230120312
5300400141214431402
64530420452343210
7326063206531263
oct41523463543066
98164073650086
102313323202102
11812090704010
12314407314b06
1313a1b76c7503
147dd7325026a
1540295181dbc
hex21a9ccec636

2313323202102 has 64 divisors (see below), whose sum is σ = 5130439630848. Its totient is φ = 689455008000.

The previous prime is 2313323202067. The next prime is 2313323202103. The reversal of 2313323202102 is 2012023233132.

2313323202102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23133232021023 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313323202103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71610418 + ... + 71642714.

It is an arithmetic number, because the mean of its divisors is an integer number (80163119232).

Almost surely, 22313323202102 is an apocalyptic number.

2313323202102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2313323202102 is an abundant number, since it is smaller than the sum of its proper divisors (2817116428746).

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

2313323202102 is a wasteful number, since it uses less digits than its factorization.

2313323202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50165.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2313323202102 its reverse (2012023233132), we get a palindrome (4325346435234).

The spelling of 2313323202102 in words is "two trillion, three hundred thirteen billion, three hundred twenty-three million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1342 2013 4026 17791 32297 35582 53373 64594 96891 106746 193782 195701 355267 391402 587103 710534 1065801 1085251 1174206 1970117 2131602 2170502 3255753 3940234 5910351 6511506 11820702 11937761 21671287 23875522 35813283 43342574 65013861 71626566 130027722 574595927 1149191854 1723787781 3447575562 6320555197 12641110394 18961665591 35050351547 37923331182 70100703094 105151054641 210302109282 385553867017 771107734034 1156661601051 2313323202102