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1220031124130 = 257213577331937
BaseRepresentation
bin10001110000001111100…
…001011001001010100010
311022122010001210122111202
4101300033201121022202
5124442110431433010
62332250301041202
7154100336306600
oct21601741311242
94278101718452
101220031124130
11430459844135
12178549b56202
138b08256c190
144309a9d2870
1521b085536a5
hex11c0f8592a2

1220031124130 has 96 divisors (see below), whose sum is σ = 2755879395696. Its totient is φ = 385449394176.

The previous prime is 1220031124073. The next prime is 1220031124139. The reversal of 1220031124130 is 314211300221.

It can be written as a sum of positive squares in 8 ways, for example, as 861334342561 + 358696781569 = 928081^2 + 598913^2 .

It is a super-2 number, since 2×12200311241302 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1220031124139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3509522 + ... + 3841458.

Almost surely, 21220031124130 is an apocalyptic number.

1220031124130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1220031124130 is an abundant number, since it is smaller than the sum of its proper divisors (1535848271566).

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

1220031124130 is a wasteful number, since it uses less digits than its factorization.

1220031124130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332548 (or 332541 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1220031124130 its reverse (314211300221), we get a palindrome (1534242424351).

The spelling of 1220031124130 in words is "one trillion, two hundred twenty billion, thirty-one million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 577 637 910 1154 1274 2885 3185 4039 5770 6370 7501 8078 15002 20195 28273 37505 40390 52507 56546 75010 105014 141365 262535 282730 331937 367549 525070 663874 735098 1659685 1837745 2323559 3319370 3675490 4315181 4647118 8630362 11617795 16264913 21575905 23235590 30206267 32529826 43151810 60412534 81324565 151031335 162649130 191527649 211443869 302062670 383055298 422887738 957638245 1057219345 1340693543 1915276490 2114438690 2489859437 2681387086 4979718874 6703467715 9384854801 12449297185 13406935430 17429016059 18769709602 24898594370 34858032118 46924274005 87145080295 93848548010 122003112413 174290160590 244006224826 610015562065 1220031124130