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1225013013114 = 2311471015876661
BaseRepresentation
bin10001110100111000011…
…101110010101001111010
311100002222021002211102120
4101310320131302221322
5130032311312404424
62334432504142110
7154334651543352
oct21647035625172
94302867084376
101225013013114
11432585a01060
121794ba467936
138b697729397
14434104dbb62
1521ceaacda79
hex11d38772a7a

1225013013114 has 128 divisors (see below), whose sum is σ = 2761759494144. Its totient is φ = 359053920000.

The previous prime is 1225013013097. The next prime is 1225013013137. The reversal of 1225013013114 is 4113103105221.

It is a super-2 number, since 2×12250130131142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183904944 + ... + 183911604.

It is an arithmetic number, because the mean of its divisors is an integer number (21576246048).

Almost surely, 21225013013114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225013013114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380879747072).

1225013013114 is an abundant number, since it is smaller than the sum of its proper divisors (1536746481030).

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

1225013013114 is a wasteful number, since it uses less digits than its factorization.

1225013013114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 1225013013114 its reverse (4113103105221), we get a palindrome (5338116118335).

The spelling of 1225013013114 in words is "one trillion, two hundred twenty-five billion, thirteen million, thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 101 141 202 282 303 517 587 606 1034 1111 1174 1551 1761 2222 3102 3333 3522 4747 6457 6661 6666 9494 12914 13322 14241 19371 19983 27589 28482 38742 39966 52217 55178 59287 73271 82767 104434 118574 146542 156651 165534 177861 219813 303479 313067 313302 355722 439626 606958 626134 652157 672761 910437 939201 1304314 1345522 1820874 1878402 1956471 2018283 2786489 3443737 3910007 3912942 4036566 5572978 6887474 7400371 7820014 8359467 10331211 11730021 14800742 16718934 20662422 22201113 23460042 30651379 31619767 43010077 44402226 61302758 63239534 86020154 91954137 94859301 129030231 183770329 183908274 189718602 258060462 347817437 367540658 394910707 551310987 695634874 789821414 1043452311 1102621974 1184732121 2021473619 2086904622 2369464242 4042947238 4344017777 6064420857 8688035554 12128841714 13032053331 18560803229 26064106662 37121606458 55682409687 111364819374 204168835519 408337671038 612506506557 1225013013114