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121906971 = 3337122029
BaseRepresentation
bin1110100010000…
…10011100011011
322111101111221000
413101002130123
5222202010341
620032520043
73010122624
oct721023433
9274344830
10121906971
11628a456a
12349b0023
131c343c04
1412294a4b
15aa808b6
hex744271b

121906971 has 16 divisors (see below), whose sum is σ = 185485600. Its totient is φ = 79074144.

The previous prime is 121906951. The next prime is 121906991. The reversal of 121906971 is 179609121.

It is an interprime number because it is at equal distance from previous prime (121906951) and next prime (121906991).

It is not a de Polignac number, because 121906971 - 221 = 119809819 is a prime.

It is a super-2 number, since 2×1219069712 = 29722619156789682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121906901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60016 + ... + 62013.

It is an arithmetic number, because the mean of its divisors is an integer number (11592850).

Almost surely, 2121906971 is an apocalyptic number.

121906971 is a deficient number, since it is larger than the sum of its proper divisors (63578629).

121906971 is a wasteful number, since it uses less digits than its factorization.

121906971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122075 (or 122069 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 121906971 is about 11041.1489891225. The cubic root of 121906971 is about 495.8414704845.

The spelling of 121906971 in words is "one hundred twenty-one million, nine hundred six thousand, nine hundred seventy-one".

Divisors: 1 3 9 27 37 111 333 999 122029 366087 1098261 3294783 4515073 13545219 40635657 121906971