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106043112949 = 1931414679403
BaseRepresentation
bin110001011000010101…
…0010111110111110101
3101010201022211021202211
41202300222113313311
53214134014103244
6120414315533421
710442563405414
oct1426052276765
9333638737684
10106043112949
1140a77633324
121867575a271
139ccc7c1c17
1451bd89347b
152b59a3b934
hex18b0a97df5

106043112949 has 32 divisors (see below), whose sum is σ = 118300815360. Its totient is φ = 94636771200.

The previous prime is 106043112919. The next prime is 106043112953. The reversal of 106043112949 is 949211340601.

It is a cyclic number.

It is not a de Polignac number, because 106043112949 - 29 = 106043112437 is a prime.

It is a super-2 number, since 2×1060431129492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106043112919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11272882 + ... + 11282284.

It is an arithmetic number, because the mean of its divisors is an integer number (3696900480).

Almost surely, 2106043112949 is an apocalyptic number.

106043112949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106043112949 is a deficient number, since it is larger than the sum of its proper divisors (12257702411).

106043112949 is a wasteful number, since it uses less digits than its factorization.

106043112949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 106043112949 in words is "one hundred six billion, forty-three million, one hundred twelve thousand, nine hundred forty-nine".

Divisors: 1 19 31 41 467 589 779 1271 8873 9403 14477 19147 24149 178657 275063 291493 363793 385523 593557 4391201 5538367 7324937 11277583 11951213 83432819 136127231 180039241 227073047 2586417389 3420745579 5581216471 106043112949