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106212108891 = 3723136136451
BaseRepresentation
bin110001011101010111…
…1000010101001011011
3101011011002211011121210
41202322233002221123
53220010244441031
6120443154034203
710450015013100
oct1427257025133
9334132734553
10106212108891
1141053a6a499
1218702278963
13a028812215
1451d80c4aa7
152b697be746
hex18babc2a5b

106212108891 has 48 divisors (see below), whose sum is σ = 170124684288. Its totient is φ = 58709448000.

The previous prime is 106212108851. The next prime is 106212108901. The reversal of 106212108891 is 198801212601.

It is not a de Polignac number, because 106212108891 - 211 = 106212106843 is a prime.

It is a super-2 number, since 2×1062121088912 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106212108851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16461216 + ... + 16467666.

It is an arithmetic number, because the mean of its divisors is an integer number (3544264256).

Almost surely, 2106212108891 is an apocalyptic number.

106212108891 is a deficient number, since it is larger than the sum of its proper divisors (63912575397).

106212108891 is a wasteful number, since it uses less digits than its factorization.

106212108891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The spelling of 106212108891 in words is "one hundred six billion, two hundred twelve million, one hundred eight thousand, eight hundred ninety-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 3613 4557 6451 10839 19353 25291 45157 75873 112003 135471 177037 199981 316099 336009 531111 599943 784021 948297 1399867 2352063 4199601 5488147 9799069 16464441 23307463 29397207 69922389 163152241 489456723 722531353 1142065687 2167594059 3426197061 5057719471 15173158413 35404036297 106212108891