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31234333343213 = 7111343990173291
BaseRepresentation
bin1110001101000010011110…
…10101111111110111101101
311002120222021101122102012202
413012201033111333313231
513043220403313440323
6150232504334311245
76402414616605620
oct706411725776755
9132528241572182
1031234333343213
119a52451993060
12360550b058525
131457500ab4150
1479da6d645db7
15392723c5bd28
hex1c684f57fded

31234333343213 has 64 divisors (see below), whose sum is σ = 42917205940224. Its totient is φ = 21941267040000.

The previous prime is 31234333343197. The next prime is 31234333343303.

31234333343213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31234333343213 - 24 = 31234333343197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31234333346213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426132098 + ... + 426205388.

It is an arithmetic number, because the mean of its divisors is an integer number (670581342816).

Almost surely, 231234333343213 is an apocalyptic number.

It is an amenable number.

31234333343213 is a deficient number, since it is larger than the sum of its proper divisors (11682872597011).

31234333343213 is a wasteful number, since it uses less digits than its factorization.

31234333343213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83266.

The product of its digits is 419904, while the sum is 38.

It can be divided in two parts, 3123433 and 3343213, that added together give a palindrome (6466646).

The spelling of 31234333343213 in words is "thirty-one trillion, two hundred thirty-four billion, three hundred thirty-three million, three hundred forty-three thousand, two hundred thirteen".

Divisors: 1 7 11 13 43 77 91 143 301 473 559 1001 3311 3913 6149 9901 43043 69307 73291 108911 128713 425743 513037 762377 806201 900991 952783 1415843 2980201 3151513 4683173 5534659 5643407 6669481 9910901 10480613 22060591 32782211 34666643 38742613 40969669 60881249 73364291 242666501 286787683 426168743 450666359 725654191 3154664513 5079579337 7982196101 9433504483 31203130213 55875372707 66034531381 103768549313 218421911491 343234432343 405640692769 726379845191 2402641026401 2839484849383 4462047620459 31234333343213