Search a number
-
+
10102002222 = 23131093118493
BaseRepresentation
bin10010110100010000…
…00101001000101110
3222002000200212212110
421122020011020232
5131142103032342
64350224544450
7505223413344
oct113210051056
928060625773
1010102002222
114314353874
121b5b182126
13c4cb82410
146bb915994
153e1d0ac9c
hex25a20522e

10102002222 has 32 divisors (see below), whose sum is σ = 21778249248. Its totient is φ = 3105438336.

The previous prime is 10102002221. The next prime is 10102002223. The reversal of 10102002222 is 22220020101.

It is an interprime number because it is at equal distance from previous prime (10102002221) and next prime (10102002223).

It is a junction number, because it is equal to n+sod(n) for n = 10102002198 and 10102002207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26008 + ... + 144500.

It is an arithmetic number, because the mean of its divisors is an integer number (680570289).

Almost surely, 210102002222 is an apocalyptic number.

10102002222 is an abundant number, since it is smaller than the sum of its proper divisors (11676247026).

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

10102002222 is a wasteful number, since it uses less digits than its factorization.

10102002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119604.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10102002222 its reverse (22220020101), we get a palindrome (32322022323).

The spelling of 10102002222 in words is "ten billion, one hundred two million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 1093 2186 3279 6558 14209 28418 42627 85254 118493 236986 355479 710958 1540409 3080818 4621227 9242454 129512849 259025698 388538547 777077094 1683667037 3367334074 5051001111 10102002222