Search a number
-
+
121097106 = 236136389
BaseRepresentation
bin1110011011111…
…00101110010010
322102212101000000
413031330232102
5222000101411
620003310430
73000210534
oct715745622
9272771000
10121097106
11623a1059
123467b416
131c11c3c0
1412123854
15a970956
hex737cb92

121097106 has 56 divisors (see below), whose sum is σ = 293339340. Its totient is φ = 37254816.

The previous prime is 121097099. The next prime is 121097111. The reversal of 121097106 is 601790121.

It can be written as a sum of positive squares in 2 ways, for example, as 86769225 + 34327881 = 9315^2 + 5859^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 121097106.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15760 + ... + 22148.

Almost surely, 2121097106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121097106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146669670).

121097106 is an abundant number, since it is smaller than the sum of its proper divisors (172242234).

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

121097106 is an equidigital number, since it uses as much as digits as its factorization.

121097106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 121097106 is about 11004.4130238736. The cubic root of 121097106 is about 494.7410215538.

The spelling of 121097106 in words is "one hundred twenty-one million, ninety-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 6389 9477 12778 18954 19167 38334 57501 83057 115002 166114 172503 249171 345006 498342 517509 747513 1035018 1495026 1552527 2242539 3105054 4485078 4657581 6727617 9315162 13455234 20182851 40365702 60548553 121097106