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122132034141 = 31341701108959
BaseRepresentation
bin111000110111110100…
…0101111001001011101
3102200020120222011111220
41301233220233021131
54000111300043031
6132035013203553
711552355106245
oct1615750571135
9380216864456
10122132034141
1147883392a07
121b8059305b9
13b694b10030
145ca8570b25
15329c249596
hex1c6fa2f25d

122132034141 has 32 divisors (see below), whose sum is σ = 179904291840. Its totient is φ = 73219776000.

The previous prime is 122132034139. The next prime is 122132034149. The reversal of 122132034141 is 141430231221.

It is not a de Polignac number, because 122132034141 - 21 = 122132034139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132034149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066420 + ... + 1175378.

It is an arithmetic number, because the mean of its divisors is an integer number (5622009120).

Almost surely, 2122132034141 is an apocalyptic number.

It is an amenable number.

122132034141 is a deficient number, since it is larger than the sum of its proper divisors (57772257699).

122132034141 is a wasteful number, since it uses less digits than its factorization.

122132034141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109717.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122132034141 its reverse (141430231221), we get a palindrome (263562265362).

The spelling of 122132034141 in words is "one hundred twenty-two billion, one hundred thirty-two million, thirty-four thousand, one hundred forty-one".

Divisors: 1 3 13 39 41 123 533 701 1599 2103 9113 27339 28741 86223 108959 326877 373633 1120899 1416467 4249401 4467319 13401957 58075147 76380259 174225441 229140777 992943367 2978830101 3131590619 9394771857 40710678047 122132034141