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106211873052 = 2234232619687
BaseRepresentation
bin110001011101010111…
…0001001000100011100
3101011011002101012010000
41202322232021010130
53220010214414202
6120443145014300
710450013011365
oct1427256110434
9334132335100
10106211873052
114105391928a
1218702184390
13a02875ba7c
1451d8062b6c
152b6977491c
hex18bab8911c

106211873052 has 90 divisors (see below), whose sum is σ = 290256282008. Its totient is φ = 33864600528.

The previous prime is 106211873041. The next prime is 106211873059. The reversal of 106211873052 is 250378112601.

106211873052 is a `hidden beast` number, since 10 + 621 + 18 + 7 + 3 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×1062118730522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106211872998 and 106211873016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106211873059) 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 29 ways as a sum of consecutive naturals, for example, 138448 + ... + 481239.

Almost surely, 2106211873052 is an apocalyptic number.

106211873052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106211873052 is an abundant number, since it is smaller than the sum of its proper divisors (184044408956).

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

106211873052 is a wasteful number, since it uses less digits than its factorization.

106211873052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619749 (or 619715 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 106211873052 its reverse (250378112601), we get a palindrome (356589985653).

The spelling of 106211873052 in words is "one hundred six billion, two hundred eleven million, eight hundred seventy-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1242 1587 1863 2116 2484 3174 3726 4761 6348 7452 9522 14283 19044 28566 42849 57132 85698 171396 619687 1239374 1859061 2478748 3718122 5577183 7436244 11154366 14252801 16731549 22308732 28505602 33463098 42758403 50194647 57011204 66926196 85516806 100389294 128275209 171033612 200778588 256550418 327814423 384825627 513100836 655628846 769651254 983443269 1154476881 1311257692 1539302508 1966886538 2308953762 2950329807 3933773076 4617907524 5900659614 8850989421 11801319228 17701978842 26552968263 35403957684 53105936526 106211873052