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10001312222319 = 341143261042263
BaseRepresentation
bin1001000110001001110010…
…1010011000110001101111
31022102010010122102001110000
42101202130222120301233
52302330141412103234
633134312302315343
72051366561141325
oct221423452306157
938363118361400
1010001312222319
11320659501a080
1211563a3288b53
13577172c82732
142680cd511d15
15125255249899
hex9189ca98c6f

10001312222319 has 40 divisors (see below), whose sum is σ = 16677468162432. Its totient is φ = 5920438502160.

The previous prime is 10001312222287. The next prime is 10001312222383. The reversal of 10001312222319 is 91322221310001.

10001312222319 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 312 + 2 + 22 + 319 = 666.

It is not a de Polignac number, because 10001312222319 - 25 = 10001312222287 is a prime.

It is a super-2 number, since 2×100013122223192 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10001312222292 and 10001312222301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001312222119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130482819 + ... + 130559444.

Almost surely, 210001312222319 is an apocalyptic number.

10001312222319 is a deficient number, since it is larger than the sum of its proper divisors (6676155940113).

10001312222319 is a wasteful number, since it uses less digits than its factorization.

10001312222319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261042329 (or 261042320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10001312222319 in words is "ten trillion, one billion, three hundred twelve million, two hundred twenty-two thousand, three hundred nineteen".

Divisors: 1 3 9 11 27 33 43 81 99 129 297 387 473 891 1161 1419 3483 4257 12771 38313 261042263 783126789 2349380367 2871464893 7048141101 8614394679 11224817309 21144423303 25843184037 33674451927 77529552111 101023355781 123472990399 232588656333 303070067343 370418971197 909210202029 1111256913591 3333770740773 10001312222319