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111414000241110 = 2357976883794641
BaseRepresentation
bin11001010101010010010111…
…111010000100100111010110
3112121111002000020110111220110
4121111102113322010213112
5104100401333030203420
61032542515104143450
732316252534331230
oct3125222772044726
9477432006414813
10111414000241110
1132555459640886
12105b4943307b86
134a223ab56cb68
141d72675a87250
15cd3201a01ee0
hex655497e849d6

111414000241110 has 128 divisors (see below), whose sum is σ = 308788370924544. Its totient is φ = 25199827107840.

The previous prime is 111414000241043. The next prime is 111414000241151. The reversal of 111414000241110 is 11142000414111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

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, 139809390 + ... + 140604030.

It is an arithmetic number, because the mean of its divisors is an integer number (2412409147848).

Almost surely, 2111414000241110 is an apocalyptic number.

111414000241110 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 111414000241110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154394185462272).

111414000241110 is an abundant number, since it is smaller than the sum of its proper divisors (197374370683434).

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

111414000241110 is a wasteful number, since it uses less digits than its factorization.

111414000241110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801638.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 111414000241110 its reverse (11142000414111), we get a palindrome (122556000655221).

The spelling of 111414000241110 in words is "one hundred eleven trillion, four hundred fourteen billion, two hundred forty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 679 970 1358 1455 2037 2910 3395 4074 6790 6883 10185 13766 20370 20649 34415 41298 48181 68830 96362 103245 144543 206490 240905 289086 481810 667651 722715 794641 1335302 1445430 1589282 2002953 2383923 3338255 3973205 4005906 4673557 4767846 5562487 6676510 7946410 9347114 10014765 11124974 11919615 14020671 16687461 20029530 23367785 23839230 27812435 28041342 33374922 46735570 55624870 70103355 77080177 83437305 140206710 154160354 166874610 231240531 385400885 462481062 539561239 770801770 1079122478 1156202655 1618683717 2312405310 2697806195 3237367434 5395612390 5469514003 8093418585 10939028006 16186837170 16408542009 27347570015 32817084018 38286598021 54695140030 76573196042 82042710045 114859794063 164085420090 191432990105 229719588126 382865980210 530542858291 574298970315 1061085716582 1148597940630 1591628574873 2652714291455 3183257149746 3713800008037 5305428582910 7427600016074 7958142874365 11141400024111 15916285748730 18569000040185 22282800048222 37138000080370 55707000120555 111414000241110