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120012001001031 = 33114291790350441
BaseRepresentation
bin11011010010011001111000…
…101100000011111001000111
3120201221000221200210001110010
4123102121320230003321013
5111212234034224013111
61103124430244001303
734164403156050306
oct3322317054037107
9521830850701403
10120012001001031
113526a892949987
1211563168390233
1351c7110852009
14218c87cc6c43d
15dd1bc3022aa6
hex6d2678b03e47

120012001001031 has 32 divisors (see below), whose sum is σ = 165305907486720. Its totient is φ = 77367059078400.

The previous prime is 120012001001027. The next prime is 120012001001047. The reversal of 120012001001031 is 130100100210021.

120012001001031 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120012001001031 - 22 = 120012001001027 is a prime.

It is a super-2 number, since 2×1200120010010312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120012001000998 and 120012001001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012001001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2379229771 + ... + 2379280211.

It is an arithmetic number, because the mean of its divisors is an integer number (5165809608960).

Almost surely, 2120012001001031 is an apocalyptic number.

120012001001031 is a deficient number, since it is larger than the sum of its proper divisors (45293906485689).

120012001001031 is a wasteful number, since it uses less digits than its factorization.

120012001001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69807.

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

Adding to 120012001001031 its reverse (130100100210021), we get a palindrome (250112101211052).

The spelling of 120012001001031 in words is "one hundred twenty trillion, twelve billion, one million, one thousand, thirty-one".

Divisors: 1 3 31 93 1429 4287 17903 44299 50441 53709 132897 151323 554993 1563671 1664979 4691013 25583387 72080189 76750161 216240567 793084997 903045223 2234485859 2379254991 2709135669 6703457577 27994401913 83983205739 1290451623667 3871354871001 40004000333677 120012001001031