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114412241130 = 235116744311681
BaseRepresentation
bin110101010001110000…
…0000100000011101010
3101221022120211001100020
41222203200010003222
53333304013204010
6124321003221310
711160146001135
oct1524340040352
9357276731306
10114412241130
1144581800190
121a210517836
13aa34657885
1457751a721c
152e9964d470
hex1aa38040ea

114412241130 has 128 divisors (see below), whose sum is σ = 304735343616. Its totient is φ = 27258316800.

The previous prime is 114412241129. The next prime is 114412241183. The reversal of 114412241130 is 31142214411.

It is a happy number.

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 114412241130.

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, 9788890 + ... + 9800570.

It is an arithmetic number, because the mean of its divisors is an integer number (2380744872).

Almost surely, 2114412241130 is an apocalyptic number.

114412241130 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 114412241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152367671808).

114412241130 is an abundant number, since it is smaller than the sum of its proper divisors (190323102486).

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

114412241130 is a wasteful number, since it uses less digits than its factorization.

114412241130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114412241130 its reverse (31142214411), we get a palindrome (145554455541).

The spelling of 114412241130 in words is "one hundred fourteen billion, four hundred twelve million, two hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 443 670 737 886 1005 1329 1474 2010 2211 2215 2658 3685 4422 4430 4873 6645 7370 9746 11055 11681 13290 14619 22110 23362 24365 29238 29681 35043 48730 58405 59362 70086 73095 89043 116810 128491 146190 148405 175215 178086 256982 296810 326491 350430 385473 445215 642455 652982 770946 782627 890430 979473 1284910 1565254 1632455 1927365 1958946 2347881 3264910 3854730 3913135 4695762 4897365 5174683 7826270 8608897 9794730 10349366 11739405 15524049 17217794 23478810 25826691 25873415 31048098 43044485 51653382 51746830 56921513 77620245 86088970 113843026 129133455 155240490 170764539 258266910 284607565 341529078 346703761 569215130 693407522 853822695 1040111283 1707645390 1733518805 2080222566 3467037610 3813741371 5200556415 7627482742 10401112830 11441224113 19068706855 22882448226 38137413710 57206120565 114412241130