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122042331 = 32103173761
BaseRepresentation
bin1110100011000…
…11011111011011
322111122101121100
413101203133123
5222220323311
620035442443
73011225355
oct721433733
9274571540
10122042331
1162987234
1234a56423
131c3906c8
14122cc0d5
15aaaaa56
hex74637db

122042331 has 24 divisors (see below), whose sum is σ = 179258976. Its totient is φ = 80000640.

The previous prime is 122042293. The next prime is 122042369. The reversal of 122042331 is 133240221.

It is an interprime number because it is at equal distance from previous prime (122042293) and next prime (122042369).

It is not a de Polignac number, because 122042331 - 29 = 122041819 is a prime.

It is a super-2 number, since 2×1220423312 = 29788661111827122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122042131) 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 23 ways as a sum of consecutive naturals, for example, 159991 + ... + 160751.

It is an arithmetic number, because the mean of its divisors is an integer number (7469124).

Almost surely, 2122042331 is an apocalyptic number.

122042331 is a deficient number, since it is larger than the sum of its proper divisors (57216645).

122042331 is a wasteful number, since it uses less digits than its factorization.

122042331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122042331 is about 11047.2770853274. The cubic root of 122042331 is about 496.0249226009.

Adding to 122042331 its reverse (133240221), we get a palindrome (255282552).

It can be divided in two parts, 12204 and 2331, that added together give a triangular number (14535 = T170).

The spelling of 122042331 in words is "one hundred twenty-two million, forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 103 173 309 519 761 927 1557 2283 6849 17819 53457 78383 131653 160371 235149 394959 705447 1184877 13560259 40680777 122042331