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106101214014 = 23479160722973
BaseRepresentation
bin110001011010000100…
…0000000101100111110
3101010212101011010110010
41202310020000230332
53214243402322024
6120424153124050
710444200303315
oct1426410005476
9333771133403
10106101214014
1140aa7407534
12186910b9626
13a00b855753
1451c749927c
152b5ebb6b29
hex18b4200b3e

106101214014 has 32 divisors (see below), whose sum is σ = 212787025920. Its totient is φ = 35269738592.

The previous prime is 106101214001. The next prime is 106101214031. The reversal of 106101214014 is 410412101601.

It is a super-2 number, since 2×1061012140142 (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 15 ways as a sum of consecutive naturals, for example, 4607032 + ... + 4630004.

It is an arithmetic number, because the mean of its divisors is an integer number (6649594560).

Almost surely, 2106101214014 is an apocalyptic number.

106101214014 is an abundant number, since it is smaller than the sum of its proper divisors (106685811906).

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

106101214014 is a wasteful number, since it uses less digits than its factorization.

106101214014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25064.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 106101214014 its reverse (410412101601), we get a palindrome (516513315615).

The spelling of 106101214014 in words is "one hundred six billion, one hundred one million, two hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 479 958 1437 1607 2874 3214 4821 9642 22973 45946 68919 137838 769753 1539506 2309259 4618518 11004067 22008134 33012201 36917611 66024402 73835222 110752833 221505666 17683535669 35367071338 53050607007 106101214014