Search a number
-
+
102111012222219 = 3271113233713995819
BaseRepresentation
bin10111001101111010010010…
…100111000111010100001011
3111101112201101000020120110200
4113031322102213013110023
5101340441323112102334
61001101052412543243
730336164034025050
oct2715722247072413
9441481330216420
10102111012222219
112a599045409660
12b55196b481b23
1344c9047803570
141b302b1095027
15bc121d68c799
hex5cde929c750b

102111012222219 has 384 divisors, whose sum is σ = 213757647667200. Its totient is φ = 45241304232960.

The previous prime is 102111012222199. The next prime is 102111012222229. The reversal of 102111012222219 is 912222210111201.

102111012222219 is a `hidden beast` number, since 1 + 0 + 211 + 1 + 0 + 1 + 222 + 221 + 9 = 666.

It is not a de Polignac number, because 102111012222219 - 212 = 102111012218123 is a prime.

It is a super-2 number, since 2×1021110122222192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111012222192 and 102111012222201.

It is not an unprimeable number, because it can be changed into a prime (102111012222229) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1065617692 + ... + 1065713510.

It is an arithmetic number, because the mean of its divisors is an integer number (556660540800).

Almost surely, 2102111012222219 is an apocalyptic number.

102111012222219 is an abundant number, since it is smaller than the sum of its proper divisors (111646635444981).

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

102111012222219 is a wasteful number, since it uses less digits than its factorization.

102111012222219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96055 (or 96052 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 102111012222219 in words is "one hundred two trillion, one hundred eleven billion, twelve million, two hundred twenty-two thousand, two hundred nineteen".