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1031220122031 = 331128332993719
BaseRepresentation
bin11110000000110011000…
…00100101000110101111
310122120202111120221122000
433000121200211012233
5113343414322401111
62105422550023343
7134334411260661
oct17003140450657
93576674527560
101031220122031
11368379969740
12147a35647b53
137632237bc28
1437ca893c531
151bc57552c56
hexf0198251af

1031220122031 has 64 divisors (see below), whose sum is σ = 1673464320000. Its totient is φ = 622417292640.

The previous prime is 1031220122021. The next prime is 1031220122039. The reversal of 1031220122031 is 1302210221301.

It is not a de Polignac number, because 1031220122031 - 25 = 1031220121999 is a prime.

It is a super-2 number, since 2×10312201220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031220121995 and 1031220122013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031220122039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277282390 + ... + 277286108.

It is an arithmetic number, because the mean of its divisors is an integer number (26147880000).

Almost surely, 21031220122031 is an apocalyptic number.

1031220122031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1031220122031 is a deficient number, since it is larger than the sum of its proper divisors (642244197969).

1031220122031 is a wasteful number, since it uses less digits than its factorization.

1031220122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1031220122031 its reverse (1302210221301), we get a palindrome (2333430343332).

The spelling of 1031220122031 in words is "one trillion, thirty-one billion, two hundred twenty million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 283 297 849 2547 3113 3299 3719 7641 9339 9897 11157 28017 29691 33471 36289 40909 84051 89073 100413 108867 122727 326601 368181 933617 979803 1052477 1104543 2800851 3157431 8402553 9472293 10269787 11577247 12268981 25207659 28416879 30809361 34731741 36806943 92428083 104195223 110420829 134958791 277284249 312585669 331262487 404876373 1214629119 3472121623 3643887357 10416364869 31249094607 38193337853 93747283821 114580013559 343740040677 1031220122031