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122254031 = 374321787
BaseRepresentation
bin1110100100101…
…11001011001111
322112001011000002
413102113023033
5222244112111
620044154515
73013066514
oct722271317
9275034002
10122254031
1163011299
1234b38a3b
131c435b83
141234530b
15aaed63b
hex74972cf

122254031 has 12 divisors (see below), whose sum is σ = 128617992. Its totient is φ = 116118576.

The previous prime is 122254009. The next prime is 122254051. The reversal of 122254031 is 130452221.

It is not a de Polignac number, because 122254031 - 210 = 122253007 is a prime.

It is a super-3 number, since 3×1222540313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122253994 and 122254012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122254051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67520 + ... + 69306.

It is an arithmetic number, because the mean of its divisors is an integer number (10718166).

Almost surely, 2122254031 is an apocalyptic number.

122254031 is a deficient number, since it is larger than the sum of its proper divisors (6363961).

122254031 is an equidigital number, since it uses as much as digits as its factorization.

122254031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122254031 is about 11056.8544803665. The cubic root of 122254031 is about 496.3115658125.

The spelling of 122254031 in words is "one hundred twenty-two million, two hundred fifty-four thousand, thirty-one".

Divisors: 1 37 43 1591 1787 1849 66119 68413 76841 2843117 3304163 122254031