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106110610511 = 4171732811777
BaseRepresentation
bin110001011010010101…
…1110110110001001111
3101010220000211112000112
41202310223312301033
53214303304014021
6120425130350235
710444343210333
oct1426453666117
9333800745015
10106110610511
1141001745234
121869428b37b
13a0107956c9
1451c88237c3
152b60920d5b
hex18b4af6c4f

106110610511 has 32 divisors (see below), whose sum is σ = 112200391296. Its totient is φ = 100251648000.

The previous prime is 106110610499. The next prime is 106110610513. The reversal of 106110610511 is 115016011601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106110610511 - 214 = 106110594127 is a prime.

It is a super-2 number, since 2×1061106105112 (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 (106110610513) 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, 59712455 + ... + 59714231.

It is an arithmetic number, because the mean of its divisors is an integer number (3506262228).

Almost surely, 2106110610511 is an apocalyptic number.

106110610511 is a deficient number, since it is larger than the sum of its proper divisors (6089780785).

106110610511 is a wasteful number, since it uses less digits than its factorization.

106110610511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 106110610511 in words is "one hundred six billion, one hundred ten million, six hundred ten thousand, five hundred eleven".

Divisors: 1 41 71 73 281 1777 2911 2993 5183 11521 19951 20513 72857 126167 129721 212503 499337 817991 841033 1456423 5172847 5318561 9210191 20472817 35452927 36451601 59713343 377617831 1453570007 1494515641 2588063671 106110610511