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122011431 = 31710323227
BaseRepresentation
bin1110100010110…
…11111100100111
322111120211012220
413101123330213
5222213331211
620035043423
73011036313
oct721337447
9274524186
10122011431
1162965aa3
1234a40573
131c37c619
14122c0b43
15aaa1806
hex745bf27

122011431 has 16 divisors (see below), whose sum is σ = 173931264. Its totient is φ = 75809664.

The previous prime is 122011423. The next prime is 122011507. The reversal of 122011431 is 134110221.

It is not a de Polignac number, because 122011431 - 23 = 122011423 is a prime.

It is a super-2 number, since 2×1220114312 = 29773578589335522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122011431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6361 + ... + 16866.

It is an arithmetic number, because the mean of its divisors is an integer number (10870704).

Almost surely, 2122011431 is an apocalyptic number.

122011431 is a deficient number, since it is larger than the sum of its proper divisors (51919833).

122011431 is a wasteful number, since it uses less digits than its factorization.

122011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23350.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 122011431 is about 11045.8784621233. The cubic root of 122011431 is about 495.9830560787.

Adding to 122011431 its reverse (134110221), we get a palindrome (256121652).

The spelling of 122011431 in words is "one hundred twenty-two million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 17 51 103 309 1751 5253 23227 69681 394859 1184577 2392381 7177143 40670477 122011431