Search a number
-
+
102022010211199 = 13181659529712421
BaseRepresentation
bin10111001100100111011001…
…101011011000101101111111
3111101020012122022020221212011
4113030213121223120231333
5101333012034103224244
61000552133042552051
730326563343305261
oct2714473153305577
9441205568227764
10102022010211199
112a564323068451
12b538670968627
1344c0832696010
141b29c6a93db31
15bbdc5ec46434
hex5cc9d9ad8b7f

102022010211199 has 32 divisors (see below), whose sum is σ = 110674313830080. Its totient is φ = 93486568089600.

The previous prime is 102022010211193. The next prime is 102022010211203. The reversal of 102022010211199 is 991112010220201.

It is a cyclic number.

It is not a de Polignac number, because 102022010211199 - 27 = 102022010211071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102022010211199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022010211193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8213665009 + ... + 8213677429.

It is an arithmetic number, because the mean of its divisors is an integer number (3458572307190).

Almost surely, 2102022010211199 is an apocalyptic number.

102022010211199 is a deficient number, since it is larger than the sum of its proper divisors (8652303618881).

102022010211199 is a wasteful number, since it uses less digits than its factorization.

102022010211199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18571.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 102022010211199 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred eleven thousand, one hundred ninety-nine".

Divisors: 1 13 181 659 2353 5297 8567 12421 68861 119279 161473 958757 1550627 2248201 3490723 8185439 12463841 29226613 45379399 65794037 106410707 631820863 855322481 1481564459 8213671219 11908720697 19260337967 43358270383 154813369061 563657514979 7847846939323 102022010211199