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102222224041014 = 232711273877104729
BaseRepresentation
bin10111001111100001110111…
…010110100010010000110110
3111101221100102112220022201100
4113033201313112202100312
5101344302103323303024
61001224124052110530
730350212001626650
oct2717416726422066
9441840375808640
10102222224041014
112a6312245a8100
12b56b428005446
13450668c0a22bc
141b358211a36d0
15bc407bd577c9
hex5cf8775a2436

102222224041014 has 288 divisors, whose sum is σ = 282360260669760. Its totient is φ = 26157401487360.

The previous prime is 102222224041001. The next prime is 102222224041031. The reversal of 102222224041014 is 410140422222201.

102222224041014 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 2 + 2 + 240 + 410 + 1 + 4 = 666.

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 143 ways as a sum of consecutive naturals, for example, 976011802 + ... + 976116530.

It is an arithmetic number, because the mean of its divisors is an integer number (980417571770).

Almost surely, 2102222224041014 is an apocalyptic number.

102222224041014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222224041014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141180130334880).

102222224041014 is an abundant number, since it is smaller than the sum of its proper divisors (180138036628746).

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

102222224041014 is a wasteful number, since it uses less digits than its factorization.

102222224041014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105716 (or 105702 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 102222224041014 its reverse (410140422222201), we get a palindrome (512362646263215).

The spelling of 102222224041014 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty-four million, forty-one thousand, fourteen".