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122312001031 = 1161257709273
BaseRepresentation
bin111000111101001011…
…1010000011000000111
3102200201010121102200021
41301322113100120013
54000443333013111
6132104522400011
711560001566123
oct1617227203007
9380633542607
10122312001031
1147965a32780
121b856060007
13b6c31a1b0c
145cc441a583
1532ace47d71
hex1c7a5d0607

122312001031 has 16 divisors (see below), whose sum is σ = 136146562848. Its totient is φ = 108944179200.

The previous prime is 122312000971. The next prime is 122312001101. The reversal of 122312001031 is 130100213221.

It is a cyclic number.

It is not a de Polignac number, because 122312001031 - 27 = 122312000903 is a prime.

It is a super-2 number, since 2×1223120010312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122312000996 and 122312001014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312001131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182190 + ... + 527083.

It is an arithmetic number, because the mean of its divisors is an integer number (8509160178).

Almost surely, 2122312001031 is an apocalyptic number.

122312001031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122312001031 is a deficient number, since it is larger than the sum of its proper divisors (13834561817).

122312001031 is a wasteful number, since it uses less digits than its factorization.

122312001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709602.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122312001031 its reverse (130100213221), we get a palindrome (252412214252).

The spelling of 122312001031 in words is "one hundred twenty-two billion, three hundred twelve million, one thousand, thirty-one".

Divisors: 1 11 61 257 671 2827 15677 172447 709273 7802003 43265653 182283161 475922183 2005114771 11119272821 122312001031