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103312412343441 = 32719756941146191
BaseRepresentation
bin10111011111011001001011…
…101000110111110010010001
3111112210120101122112012200200
4113133121023220313302101
5102020132310024442231
61003421022251005413
730522034613410140
oct2737311350676221
9445716348465620
10103312412343441
112aa11603467524
12b706779a39869
13458541b1acc62
141b724c1523757
15be25d6243be6
hex5df64ba37c91

103312412343441 has 48 divisors (see below), whose sum is σ = 171417380479488. Its totient is φ = 58734557481600.

The previous prime is 103312412343319. The next prime is 103312412343473. The reversal of 103312412343441 is 144343214213301.

103312412343441 is a `hidden beast` number, since 1 + 0 + 3 + 31 + 24 + 123 + 43 + 441 = 666.

It is not a de Polignac number, because 103312412343441 - 218 = 103312412081297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103312412343396 and 103312412343405.

It is not an unprimeable number, because it can be changed into a prime (103312412343641) 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, 706621656 + ... + 706767846.

It is an arithmetic number, because the mean of its divisors is an integer number (3571195426656).

Almost surely, 2103312412343441 is an apocalyptic number.

It is an amenable number.

103312412343441 is a deficient number, since it is larger than the sum of its proper divisors (68104968136047).

103312412343441 is a wasteful number, since it uses less digits than its factorization.

103312412343441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203342 (or 203339 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 103312412343441 its reverse (144343214213301), we get a palindrome (247655626556742).

The spelling of 103312412343441 in words is "one hundred three trillion, three hundred twelve billion, four hundred twelve million, three hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 197 591 1379 1773 4137 12411 56941 146191 170823 398587 438573 512469 1023337 1195761 1315719 3070011 3587283 9210033 11217377 28799627 33652131 78521639 86398881 100956393 201597389 235564917 259196643 604792167 706694751 1814376501 8324261731 24972785193 58269832117 74918355579 174809496351 524428489053 1639879561007 4919638683021 11479156927049 14758916049063 34437470781147 103312412343441