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31122101021 = 112327175329
BaseRepresentation
bin11100111111000001…
…011001001100011101
32222022221201112121012
4130333001121030131
51002214224213041
622144114345005
72151143331254
oct347701311435
988287645535
1031122101021
1112220684150
12604688b165
132c1c9b35bb
14171349b79b
15c223c83eb
hex73f05931d

31122101021 has 24 divisors (see below), whose sum is σ = 35992071360. Its totient is φ = 26681177600.

The previous prime is 31122101011. The next prime is 31122101027. The reversal of 31122101021 is 12010122113.

It is a de Polignac number, because none of the positive numbers 2k-31122101021 is a prime.

It is a super-2 number, since 2×311221010212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31122100987 and 31122101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375485 + ... + 450813.

It is an arithmetic number, because the mean of its divisors is an integer number (1499669640).

Almost surely, 231122101021 is an apocalyptic number.

It is an amenable number.

31122101021 is a deficient number, since it is larger than the sum of its proper divisors (4869970339).

31122101021 is a wasteful number, since it uses less digits than its factorization.

31122101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75457 (or 75434 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 31122101021 its reverse (12010122113), we get a palindrome (43132223134).

The spelling of 31122101021 in words is "thirty-one billion, one hundred twenty-two million, one hundred one thousand, twenty-one".

Divisors: 1 11 23 71 253 529 781 1633 5819 17963 37559 75329 413149 828619 1732567 5348359 19058237 39849041 58831949 123012257 438339451 1353134827 2829281911 31122101021