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23031102101319 = 32136710926954269
BaseRepresentation
bin1010011110010010110001…
…01010001101011101000111
310000112202022002211020021100
411033021120222031131013
511004320144114220234
6120552201531351143
74564641115542144
oct517113052153507
9100482262736240
1023031102101319
11737a487797884
1226bb6b95b24b3
13cb0a92613c90
145989d5ac73cb
1529e159d52399
hex14f258a8d747

23031102101319 has 48 divisors (see below), whose sum is σ = 36694465007200. Its totient is φ = 13833361605888.

The previous prime is 23031102101299. The next prime is 23031102101347. The reversal of 23031102101319 is 91310120113032.

23031102101319 is a `hidden beast` number, since 2 + 3 + 0 + 311 + 0 + 210 + 131 + 9 = 666.

It is not a de Polignac number, because 23031102101319 - 27 = 23031102101191 is a prime.

It is a super-2 number, since 2×230311021013192 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23031102101292 and 23031102101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031102102319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12622684 + ... + 14331585.

Almost surely, 223031102101319 is an apocalyptic number.

23031102101319 is a deficient number, since it is larger than the sum of its proper divisors (13663362905881).

23031102101319 is a wasteful number, since it uses less digits than its factorization.

23031102101319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26954464 (or 26954461 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 23031102101319 in words is "twenty-three trillion, thirty-one billion, one hundred two million, one hundred one thousand, three hundred nineteen".

Divisors: 1 3 9 13 39 67 109 117 201 327 603 871 981 1417 2613 4251 7303 7839 12753 21909 65727 94939 284817 854451 26954269 80862807 242588421 350405497 1051216491 1805936023 2938015321 3153649473 5417808069 8814045963 16253424207 23477168299 26442137889 38194199173 70431504897 114582597519 196847026507 211294514691 343747792557 590541079521 1771623238563 2559011344591 7677034033773 23031102101319