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105561200022 = 2337773615137
BaseRepresentation
bin110001001001111110…
…0000001010110010110
3101002110202000120111220
41202103330001112112
53212142131400042
6120254422511210
710424622252435
oct1422374012626
9332422016456
10105561200022
114084a5aaa83
1218560295506
139c53a00645
14517588911c
152b2c5978ec
hex1893f01596

105561200022 has 32 divisors (see below), whose sum is σ = 217109266272. Its totient is φ = 34191719424.

The previous prime is 105561199987. The next prime is 105561200023. The reversal of 105561200022 is 220002165501.

It is a happy number.

It is a super-2 number, since 2×1055612000222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105561199965 and 105561200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561200023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135963 + ... + 479174.

It is an arithmetic number, because the mean of its divisors is an integer number (6784664571).

Almost surely, 2105561200022 is an apocalyptic number.

105561200022 is an abundant number, since it is smaller than the sum of its proper divisors (111548066250).

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

105561200022 is a wasteful number, since it uses less digits than its factorization.

105561200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615952.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 105561200022 its reverse (220002165501), we get a palindrome (325563365523).

The spelling of 105561200022 in words is "one hundred five billion, five hundred sixty-one million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 37 74 111 222 773 1546 2319 4638 28601 57202 85803 171606 615137 1230274 1845411 3690822 22760069 45520138 68280207 136560414 475500901 951001802 1426502703 2853005406 17593533337 35187066674 52780600011 105561200022