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106153613214 = 23111832987751
BaseRepresentation
bin110001011011100111…
…1111001011110011110
3101011000000202021122020
41202313033321132132
53214400311110324
6120433304201010
710445404552545
oct1426717713636
9334000667566
10106153613214
1141023a46860
12186a6769166
13a019670bac
1451d041915c
152b645b7679
hex18b73f979e

106153613214 has 32 divisors (see below), whose sum is σ = 231623159040. Its totient is φ = 32165640000.

The previous prime is 106153613191. The next prime is 106153613219. The reversal of 106153613214 is 412316351601.

It is a happy number.

It is a super-2 number, since 2×1061536132142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106153613219) 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, 1165839 + ... + 1253589.

It is an arithmetic number, because the mean of its divisors is an integer number (7238223720).

Almost surely, 2106153613214 is an apocalyptic number.

106153613214 is an abundant number, since it is smaller than the sum of its proper divisors (125469545826).

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

106153613214 is a wasteful number, since it uses less digits than its factorization.

106153613214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106096.

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 106153613214 its reverse (412316351601), we get a palindrome (518469964815).

The spelling of 106153613214 in words is "one hundred six billion, one hundred fifty-three million, six hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 18329 36658 54987 87751 109974 175502 201619 263253 403238 526506 604857 965261 1209714 1930522 2895783 5791566 1608388079 3216776158 4825164237 9650328474 17692268869 35384537738 53076806607 106153613214