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1141024223130 = 235117350879311
BaseRepresentation
bin10000100110101010010…
…101111110111110011010
311001002011221101020020020
4100212222111332332122
5122143304200120010
62232102421011310
7145302433604421
oct20465225767632
94032157336206
101141024223130
113aa9a6478030
1216517a853b36
13837a10c940c
143d323aca2b8
151ea32351470
hex109aa57ef9a

1141024223130 has 128 divisors (see below), whose sum is σ = 3029252898816. Its totient is φ = 272739801600.

The previous prime is 1141024223123. The next prime is 1141024223147. The reversal of 1141024223130 is 313224201411.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1141024223130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122541175 + ... + 122550485.

It is an arithmetic number, because the mean of its divisors is an integer number (23666038272).

Almost surely, 21141024223130 is an apocalyptic number.

1141024223130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141024223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514626449408).

1141024223130 is an abundant number, since it is smaller than the sum of its proper divisors (1888228675686).

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

1141024223130 is a wasteful number, since it uses less digits than its factorization.

1141024223130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1141024223130 its reverse (313224201411), we get a palindrome (1454248424541).

The spelling of 1141024223130 in words is "one trillion, one hundred forty-one billion, twenty-four million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 5087 8030 9311 10174 12045 15261 18622 24090 25435 27933 30522 46555 50870 55866 55957 76305 93110 102421 111914 139665 152610 167871 204842 279330 279785 307263 335742 371351 512105 559570 614526 679703 742702 839355 1024210 1114053 1359406 1536315 1678710 1856755 2039109 2228106 3072630 3398515 3713510 4078218 4084861 5570265 6797030 7476733 8169722 10195545 11140530 12254583 14953466 20391090 20424305 22430199 24509166 37383665 40848610 44860398 47365057 61272915 74767330 94730114 112150995 122545830 142095171 224301990 236825285 284190342 473650570 521015627 710475855 1042031254 1420951710 1563046881 2605078135 3126093762 3457649161 5210156270 6915298322 7815234405 10372947483 15630468810 17288245805 20745894966 34576491610 38034140771 51864737415 76068281542 103729474830 114102422313 190170703855 228204844626 380341407710 570512111565 1141024223130