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105022212042 = 231112251129887
BaseRepresentation
bin110000111001111001…
…1111100011111001010
3101001002011211011000010
41201303303330133022
53210041141241132
6120125130252350
710405356034056
oct1416363743712
9331064734003
10105022212042
11405a3334370
121842b8870b6
139b99147547
145124064c66
152aea0cc6cc
hex1873cfc7ca

105022212042 has 32 divisors (see below), whose sum is σ = 229159839744. Its totient is φ = 31822070000.

The previous prime is 105022212041. The next prime is 105022212067. The reversal of 105022212042 is 240212220501.

It is a super-2 number, since 2×1050222120422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105022212041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743623 + ... + 873509.

It is an arithmetic number, because the mean of its divisors is an integer number (7161244992).

Almost surely, 2105022212042 is an apocalyptic number.

105022212042 is an abundant number, since it is smaller than the sum of its proper divisors (124137627702).

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

105022212042 is a wasteful number, since it uses less digits than its factorization.

105022212042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142154.

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 105022212042 its reverse (240212220501), we get a palindrome (345234432543).

The spelling of 105022212042 in words is "one hundred five billion, twenty-two million, two hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 12251 24502 36753 73506 129887 134761 259774 269522 389661 404283 779322 808566 1428757 2857514 4286271 8572542 1591245637 3182491274 4773736911 9547473822 17503702007 35007404014 52511106021 105022212042