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121556106 = 2337321577
BaseRepresentation
bin1110011111011…
…00110010001010
322110201200122000
413033230302022
5222104243411
620021211430
73004131660
oct717546212
9273650560
10121556106
11626849a1
1234860b76
131c2502b9
1412202c30
15aa11956
hex73ecc8a

121556106 has 32 divisors (see below), whose sum is σ = 308714880. Its totient is φ = 34730208.

The previous prime is 121556101. The next prime is 121556143. The reversal of 121556106 is 601655121.

It is a happy number.

121556106 is a `hidden beast` number, since 1 + 2 + 1 + 556 + 106 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121556106.

It is not an unprimeable number, because it can be changed into a prime (121556101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160411 + ... + 161166.

It is an arithmetic number, because the mean of its divisors is an integer number (9647340).

Almost surely, 2121556106 is an apocalyptic number.

121556106 is an abundant number, since it is smaller than the sum of its proper divisors (187158774).

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

121556106 is a wasteful number, since it uses less digits than its factorization.

121556106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321595 (or 321589 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 121556106 is about 11025.2485686265. The cubic root of 121556106 is about 495.3653134336.

The spelling of 121556106 in words is "one hundred twenty-one million, five hundred fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 321577 643154 964731 1929462 2251039 2894193 4502078 5788386 6753117 8682579 13506234 17365158 20259351 40518702 60778053 121556106