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106415442210 = 23571146067291
BaseRepresentation
bin110001100011011011…
…0101100100100100010
3101011200021102120111110
41203012312230210202
53220414323122320
6120515300124150
710455034222440
oct1430666544442
9334607376443
10106415442210
1141148819860
121875a396656
13a05b9957ac
1452170d3b90
152b7c5865e0
hex18c6dac922

106415442210 has 64 divisors (see below), whose sum is σ = 318417122304. Its totient is φ = 22112299200.

The previous prime is 106415442209. The next prime is 106415442227. The reversal of 106415442210 is 12244514601.

It is a super-2 number, since 2×1064154422102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23031336 + ... + 23035955.

It is an arithmetic number, because the mean of its divisors is an integer number (4975267536).

Almost surely, 2106415442210 is an apocalyptic number.

106415442210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106415442210 is an abundant number, since it is smaller than the sum of its proper divisors (212001680094).

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

106415442210 is a wasteful number, since it uses less digits than its factorization.

106415442210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46067319.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 106415442210 its reverse (12244514601), we get a palindrome (118659956811).

The spelling of 106415442210 in words is "one hundred six billion, four hundred fifteen million, four hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 46067291 92134582 138201873 230336455 276403746 322471037 460672910 506740201 644942074 691009365 967413111 1013480402 1382018730 1520220603 1612355185 1934826222 2533701005 3040441206 3224710370 3547181407 4837065555 5067402010 7094362814 7601103015 9674131110 10641544221 15202206030 17735907035 21283088442 35471814070 53207721105 106415442210