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106211811706 = 272111383127719
BaseRepresentation
bin110001011101010110…
…1111010000101111010
3101011011002021001221221
41202322231322011322
53220010210433311
6120443143422254
710450012334500
oct1427255720572
9334132231857
10106211811706
1141053887190
121870215498a
13a028739b80
1451d8048670
152b69761671
hex18bab7a17a

106211811706 has 192 divisors, whose sum is σ = 222396088320. Its totient is φ = 37388615040.

The previous prime is 106211811683. The next prime is 106211811721. The reversal of 106211811706 is 607118112601.

It is a super-3 number, since 3×1062118117063 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147721215 + ... + 147721933.

It is an arithmetic number, because the mean of its divisors is an integer number (1158312960).

Almost surely, 2106211811706 is an apocalyptic number.

106211811706 is an abundant number, since it is smaller than the sum of its proper divisors (116184276614).

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

106211811706 is a wasteful number, since it uses less digits than its factorization.

106211811706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 106211811706 in words is "one hundred six billion, two hundred eleven million, eight hundred eleven thousand, seven hundred six".