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1031220130122 = 232721389937217
BaseRepresentation
bin11110000000110011000…
…00100111000101001010
310122120202111121100201200
433000121200213011022
5113343414323130442
62105422550125030
7134334411323400
oct17003140470512
93576674540650
101031220130122
11368379974826
12147a35650776
1376322382810
1437ca8941470
151bc5755534c
hexf01982714a

1031220130122 has 72 divisors (see below), whose sum is σ = 2799026098596. Its totient is φ = 271970141184.

The previous prime is 1031220130121. The next prime is 1031220130181. The reversal of 1031220130122 is 2210310221301.

1031220130122 is a `hidden beast` number, since 1 + 0 + 312 + 201 + 30 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1030551855921 + 668274201 = 1015161^2 + 25851^2 .

It is a super-2 number, since 2×10312201301222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1031220130095 and 1031220130104.

It is not an unprimeable number, because it can be changed into a prime (1031220130121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44957143 + ... + 44980074.

Almost surely, 21031220130122 is an apocalyptic number.

1031220130122 is an abundant number, since it is smaller than the sum of its proper divisors (1767805968474).

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

1031220130122 is a wasteful number, since it uses less digits than its factorization.

1031220130122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89937252 (or 89937242 counting only the distinct ones).

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

Adding to 1031220130122 its reverse (2210310221301), we get a palindrome (3241530351423).

The spelling of 1031220130122 in words is "one trillion, thirty-one billion, two hundred twenty million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 89937217 179874434 269811651 539623302 629560519 809434953 1169183821 1259121038 1618869906 1888681557 2338367642 3507551463 3777363114 4406923633 5666044671 7015102926 8184286747 8813847266 10522654389 11332089342 13220770899 16368573494 21045308778 24552860241 26441541798 39662312697 49105720482 57290007229 73658580723 79324625394 114580014458 147317161446 171870021687 343740043374 515610065061 1031220130122