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31100011120002 = 23111039511481009
BaseRepresentation
bin1110001001001000010010…
…00111011000010110000010
311002010010120020200110222210
413010210021013120112002
513034020310321320002
6150051051535042550
76356621160546456
oct704441107302602
9132103506613883
1031100011120002
119a00493557730
1235a3482970456
13144794560bab6
1479736a10a666
1538deb172496c
hex1c49091d8582

31100011120002 has 64 divisors (see below), whose sum is σ = 68520697989120. Its totient is φ = 9331747603200.

The previous prime is 31100011120001. The next prime is 31100011120007. The reversal of 31100011120002 is 20002111000113.

It is a self number, because there is not a number n which added to its sum of digits gives 31100011120002.

It is not an unprimeable number, because it can be changed into a prime (31100011120001) 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 31 ways as a sum of consecutive naturals, for example, 64415274 + ... + 64896282.

It is an arithmetic number, because the mean of its divisors is an integer number (1070635906080).

Almost surely, 231100011120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100011120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34260348994560).

31100011120002 is an abundant number, since it is smaller than the sum of its proper divisors (37420686869118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31100011120002 is a wasteful number, since it uses less digits than its factorization.

31100011120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490639.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 31100011120002 its reverse (20002111000113), we get a palindrome (51102122120115).

It can be divided in two parts, 311000111 and 20002, that added together give a palindrome (311020113).

The spelling of 31100011120002 in words is "thirty-one trillion, one hundred billion, eleven million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 33 66 103 206 309 618 1133 2266 3399 6798 9511 19022 28533 57066 104621 209242 313863 481009 627726 962018 979633 1443027 1959266 2886054 2938899 5291099 5877798 10582198 10775963 15873297 21551926 31746594 32327889 49543927 64655778 99087854 148631781 297263562 544983197 1089966394 1634949591 3269899182 4574876599 9149753198 13724629797 27449259594 50323642589 100647285178 150970927767 301941855534 471212289697 942424579394 1413636869091 2827273738182 5183335186667 10366670373334 15550005560001 31100011120002