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106115000061 = 37113130334319
BaseRepresentation
bin110001011010011110…
…0100110011011111101
3101010220100002112100110
41202310330212123331
53214310420000221
6120425404420233
710444425422010
oct1426474463375
9333810075313
10106115000061
1141004173164
1218695847679
13a011671685
1451c9247377
152b60edb776
hex18b4f266fd

106115000061 has 32 divisors (see below), whose sum is σ = 163259965440. Its totient is φ = 60052656384.

The previous prime is 106115000041. The next prime is 106115000077. The reversal of 106115000061 is 160000511601.

It is not a de Polignac number, because 106115000061 - 26 = 106114999997 is a prime.

It is a super-2 number, since 2×1061150000612 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106115000021) 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, 3074860 + ... + 3109178.

It is an arithmetic number, because the mean of its divisors is an integer number (5101873920).

Almost surely, 2106115000061 is an apocalyptic number.

It is an amenable number.

106115000061 is a deficient number, since it is larger than the sum of its proper divisors (57144965379).

106115000061 is a wasteful number, since it uses less digits than its factorization.

106115000061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35745.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 106115000061 its reverse (160000511601), we get a palindrome (266115511662).

The spelling of 106115000061 in words is "one hundred six billion, one hundred fifteen million, sixty-one", and thus it is an aban number.

Divisors: 1 3 7 21 113 339 791 1303 2373 3909 9121 27363 34319 102957 147239 240233 441717 720699 1030673 3092019 3878047 11634141 27146329 44717657 81438987 134152971 313023599 939070797 5053095241 15159285723 35371666687 106115000061