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106212022072 = 23136471578469
BaseRepresentation
bin110001011101010111…
…0101101011100111000
3101011011002122202112021
41202322232231130320
53220010234201242
6120443152124224
710450014202012
oct1427256553470
9334132582467
10106212022072
1141053a10242
1218702236674
13a0287b1850
1451d80a11b2
152b697a3b67
hex18babad738

106212022072 has 32 divisors (see below), whose sum is σ = 214798197600. Its totient is φ = 48945135744.

The previous prime is 106212022061. The next prime is 106212022097. The reversal of 106212022072 is 270220212601.

It is a super-2 number, since 2×1062120220722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721947 + ... + 856522.

It is an arithmetic number, because the mean of its divisors is an integer number (6712443675).

Almost surely, 2106212022072 is an apocalyptic number.

It is an amenable number.

106212022072 is an abundant number, since it is smaller than the sum of its proper divisors (108586175528).

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

106212022072 is a wasteful number, since it uses less digits than its factorization.

106212022072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579135 (or 1579131 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 106212022072 its reverse (270220212601), we get a palindrome (376432234673).

The spelling of 106212022072 in words is "one hundred six billion, two hundred twelve million, twenty-two thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 647 1294 2588 5176 8411 16822 33644 67288 1578469 3156938 6313876 12627752 20520097 41040194 82080388 164160776 1021269443 2042538886 4085077772 8170155544 13276502759 26553005518 53106011036 106212022072