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102233021022 = 23411115349757
BaseRepresentation
bin101111100110110010…
…0000001101001011110
3100202212210110120020000
41133031210001221132
53133333123133042
6114544252235130
710246300224606
oct1371544015136
9322783416200
10102233021022
113a3a1969920
121799176baa6
139843333162
144d3b855c06
1529d52ca74c
hex17cd901a5e

102233021022 has 80 divisors (see below), whose sum is σ = 250124708592. Its totient is φ = 30952212480.

The previous prime is 102233020987. The next prime is 102233021027. The reversal of 102233021022 is 220120332201.

102233021022 is a `hidden beast` number, since 102 + 2 + 330 + 210 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102233020986 and 102233021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233021027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2029768 + ... + 2079524.

Almost surely, 2102233021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102233021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125062354296).

102233021022 is an abundant number, since it is smaller than the sum of its proper divisors (147891687570).

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

102233021022 is a wasteful number, since it uses less digits than its factorization.

102233021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50935 (or 50926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102233021022 its reverse (220120332201), we get a palindrome (322353353223).

The spelling of 102233021022 in words is "one hundred two billion, two hundred thirty-three million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1153 1782 2306 3459 6918 10377 12683 20754 25366 31131 38049 49757 62262 76098 93393 99514 114147 149271 186786 228294 298542 342441 447813 547327 684882 895626 1027323 1094654 1343439 1641981 2054646 2686878 3283962 4030317 4925943 8060634 9851886 14777829 29555658 44333487 57369821 88666974 114739642 172109463 344218926 516328389 631068031 1032656778 1262136062 1548985167 1893204093 3097970334 3786408186 4646955501 5679612279 9293911002 11359224558 17038836837 34077673674 51116510511 102233021022