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23234331431322 = 232116115383125053
BaseRepresentation
bin1010100100001101010100…
…00100100101000110011010
310001021011212111122212201200
411102012222010211012122
511021132402321300242
6121225412101255030
74615424251414344
oct522065204450632
9101234774585650
1023234331431322
117448696414450
122732b76704476
13cc6cac9a09bb
145a4794a2a294
152a45a1a6a04c
hex1521aa12519a

23234331431322 has 96 divisors (see below), whose sum is σ = 55821872635776. Its totient is φ = 6924779510400.

The previous prime is 23234331431299. The next prime is 23234331431329. The reversal of 23234331431322 is 22313413343232.

23234331431322 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 4 + 3 + 314 + 313 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (23234331431329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185733348 + ... + 185858400.

It is an arithmetic number, because the mean of its divisors is an integer number (581477839956).

Almost surely, 223234331431322 is an apocalyptic number.

23234331431322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23234331431322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27910936317888).

23234331431322 is an abundant number, since it is smaller than the sum of its proper divisors (32587541204454).

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

23234331431322 is a wasteful number, since it uses less digits than its factorization.

23234331431322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140516 (or 140513 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 23234331431322 its reverse (22313413343232), we get a palindrome (45547744774554).

The spelling of 23234331431322 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred thirty-one million, four hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 12078 15383 30766 46149 92298 125053 138447 169213 250106 276894 338426 375159 507639 750318 938363 1015278 1125477 1375583 1522917 1876726 2250954 2751166 2815089 3045834 4126749 5630178 7628233 8253498 8445267 10321993 12380247 15256466 16890534 20643986 22884699 24760494 30965979 45769398 61931958 68654097 83910563 92897937 137308194 167821126 185795874 251731689 503463378 755195067 1510390134 1923690299 3847380598 5771070897 11542141794 17313212691 21160593289 34626425382 42321186578 63481779867 117345108239 126963559734 190445339601 234690216478 352035324717 380890679202 704070649434 1056105974151 1290796190629 2112211948302 2581592381258 3872388571887 7744777143774 11617165715661 23234331431322