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2313244142132 = 2271113988161331
BaseRepresentation
bin100001101010011000000…
…110000110101000110100
322012010212221222000012212
4201222120012012220310
5300400011000022012
64530404550032552
7326061226531610
oct41523006065064
98163787860185
102313244142132
118120500150a0
123143a4948758
1313a1a4205c71
147dd66950340
154028d266b22
hex21a98186a34

2313244142132 has 96 divisors (see below), whose sum is σ = 5089241041920. Its totient is φ = 893749824000.

The previous prime is 2313244142123. The next prime is 2313244142159. The reversal of 2313244142132 is 2312414423132.

It is a happy number.

It is a super-2 number, since 2×23132441421322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37686707 + ... + 37748037.

It is an arithmetic number, because the mean of its divisors is an integer number (53012927520).

Almost surely, 22313244142132 is an apocalyptic number.

2313244142132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313244142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544620520960).

2313244142132 is an abundant number, since it is smaller than the sum of its proper divisors (2775996899788).

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

2313244142132 is a wasteful number, since it uses less digits than its factorization.

2313244142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62373 (or 62371 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 2313244142132 its reverse (2312414423132), we get a palindrome (4625658565264).

The spelling of 2313244142132 in words is "two trillion, three hundred thirteen billion, two hundred forty-four million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 278 308 556 881 973 1529 1762 1946 3058 3524 3892 6116 6167 9691 10703 12334 19382 21406 24668 38764 42812 61331 67837 122459 122662 135674 244918 245324 271348 429317 489836 674641 857213 858634 1347049 1349282 1714426 1717268 2694098 2698564 3428852 4722487 5388196 8525009 9429343 9444974 17050018 18858686 18889948 34100036 37717372 54032611 59675063 93775099 108065222 119350126 187550198 216130444 238700252 375100396 378228277 594358721 656425693 756456554 1188717442 1312851386 1512913108 2377434884 2625702772 4160511047 7510532929 8321022094 15021065858 16642044188 30042131716 52573730503 82615862219 105147461006 165231724438 210294922012 330463448876 578311035533 1156622071066 2313244142132