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31122121110 = 2352935772553
BaseRepresentation
bin11100111111000001…
…011110000110010110
32222022221202120011020
4130333001132012112
51002214230333420
622144115022010
72151143443653
oct347701360626
988287676136
1031122121110
1112220698253
12604689a906
132c1c9bc7a2
1417134a4c2a
15c223ce340
hex73f05e196

31122121110 has 32 divisors (see below), whose sum is σ = 77268716640. Its totient is φ = 8013051648.

The previous prime is 31122121103. The next prime is 31122121117. The reversal of 31122121110 is 1112122113.

It is an interprime number because it is at equal distance from previous prime (31122121103) and next prime (31122121117).

It is a super-3 number, since 3×311221211103 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31122121110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122121117) 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 15 ways as a sum of consecutive naturals, for example, 17885407 + ... + 17887146.

It is an arithmetic number, because the mean of its divisors is an integer number (2414647395).

Almost surely, 231122121110 is an apocalyptic number.

31122121110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31122121110 is an abundant number, since it is smaller than the sum of its proper divisors (46146595530).

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

31122121110 is a wasteful number, since it uses less digits than its factorization.

31122121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35772592.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 31122121110 its reverse (1112122113), we get a palindrome (32234243223).

The spelling of 31122121110 in words is "thirty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 35772553 71545106 107317659 178862765 214635318 357725530 536588295 1037404037 1073176590 2074808074 3112212111 5187020185 6224424222 10374040370 15561060555 31122121110