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31042211343 = 311131928113553
BaseRepresentation
bin11100111010010000…
…101000111000001111
32222010101101201120020
4130322100220320033
51002033301230333
622132142153223
72146153304613
oct347220507017
988111351506
1031042211343
111218a578920
126023b82813
132c092914c0
141706a23343
15c1a3973b3
hex73a428e0f

31042211343 has 64 divisors (see below), whose sum is σ = 51370744320. Its totient is φ = 16392499200.

The previous prime is 31042211341. The next prime is 31042211357. The reversal of 31042211343 is 34311224013.

It is a happy number.

It is a Cunningham number, because it is equal to 1761882-1.

It is not a de Polignac number, because 31042211343 - 21 = 31042211341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31042211341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2283655 + ... + 2297207.

It is an arithmetic number, because the mean of its divisors is an integer number (802667880).

Almost surely, 231042211343 is an apocalyptic number.

31042211343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

31042211343 is a deficient number, since it is larger than the sum of its proper divisors (20328532977).

31042211343 is a wasteful number, since it uses less digits than its factorization.

31042211343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13880.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31042211343 its reverse (34311224013), we get a palindrome (65353435356).

The spelling of 31042211343 in words is "thirty-one billion, forty-two million, two hundred eleven thousand, three hundred forty-three".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 281 429 627 741 843 2717 3091 3653 5339 8151 9273 10959 13553 16017 40183 40659 58729 69407 120549 149083 176187 176189 208221 257507 447249 528567 763477 772521 1938079 2290431 2832577 3347591 3808393 5814237 8497731 10042773 11425179 36823501 41892323 49509109 72359467 110470503 125676969 148527327 217078401 544600199 795954137 940673071 1633800597 2387862411 2822019213 10347403781 31042211343