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114101012123220 = 22352492117630817
BaseRepresentation
bin11001111100011000110110…
…010010111100111001010100
3112221222221122201101000100010
4121330120312102330321110
5104423412333100420340
61042401140434120220
733014345306434023
oct3174306622747124
9487887581330303
10114101012123220
11333a0a70811031
121096965a120070
134b888aa49c8b5
1420267388c68ba
15d2d0686d0b80
hex67c6364bce54

114101012123220 has 48 divisors (see below), whose sum is σ = 319484157789888. Its totient is φ = 30426810485760.

The previous prime is 114101012123213. The next prime is 114101012123227. The reversal of 114101012123220 is 22321210101411.

It is an interprime number because it is at equal distance from previous prime (114101012123213) and next prime (114101012123227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114101012123227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11137252 + ... + 18768068.

It is an arithmetic number, because the mean of its divisors is an integer number (6655919953956).

Almost surely, 2114101012123220 is an apocalyptic number.

114101012123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114101012123220 is an abundant number, since it is smaller than the sum of its proper divisors (205383145666668).

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

114101012123220 is a wasteful number, since it uses less digits than its factorization.

114101012123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880040 (or 7880038 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 114101012123220 its reverse (22321210101411), we get a palindrome (136422222224631).

The spelling of 114101012123220 in words is "one hundred fourteen trillion, one hundred one billion, twelve million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 249211 498422 747633 996844 1246055 1495266 2492110 2990532 3738165 4984220 7476330 7630817 14952660 15261634 22892451 30523268 38154085 45784902 76308170 91569804 114462255 152616340 228924510 457849020 1901683535387 3803367070774 5705050606161 7606734141548 9508417676935 11410101212322 19016835353870 22820202424644 28525253030805 38033670707740 57050506061610 114101012123220