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122400141 = 356372469
BaseRepresentation
bin1110100101110…
…10110110001101
322112022120102120
413102322312031
5222313301031
620051243153
73014245503
oct722726615
9275276376
10122400141
1163101046
1234ba94b9
131c487526
1412382673
15ab2ba96
hex74bad8d

122400141 has 8 divisors (see below), whose sum is σ = 163492320. Its totient is φ = 81454032.

The previous prime is 122400077. The next prime is 122400149. The reversal of 122400141 is 141004221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122400141 - 26 = 122400077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122400141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34546 + ... + 37923.

It is an arithmetic number, because the mean of its divisors is an integer number (20436540).

Almost surely, 2122400141 is an apocalyptic number.

It is an amenable number.

122400141 is a deficient number, since it is larger than the sum of its proper divisors (41092179).

122400141 is an equidigital number, since it uses as much as digits as its factorization.

122400141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73035.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122400141 is about 11063.4597210818. The cubic root of 122400141 is about 496.5092067754.

Adding to 122400141 its reverse (141004221), we get a palindrome (263404362).

The spelling of 122400141 in words is "one hundred twenty-two million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 563 1689 72469 217407 40800047 122400141