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122103012441 = 31956918891993
BaseRepresentation
bin111000110110111101…
…0000001110001011001
3102200011120100201020010
41301231322001301121
54000031332344231
6132032055152133
711551553324004
oct1615572016131
9380146321203
10122103012441
1147868a70533
121b7b8075649
13b68babb427
145ca477853b
153299915546
hex1c6de81c59

122103012441 has 32 divisors (see below), whose sum is σ = 171850896000. Its totient is φ = 76902801408.

The previous prime is 122103012433. The next prime is 122103012481. The reversal of 122103012441 is 144210301221.

It is not a de Polignac number, because 122103012441 - 23 = 122103012433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122103012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61264941 + ... + 61266933.

It is an arithmetic number, because the mean of its divisors is an integer number (5370340500).

Almost surely, 2122103012441 is an apocalyptic number.

It is an amenable number.

122103012441 is a deficient number, since it is larger than the sum of its proper divisors (49747883559).

122103012441 is a wasteful number, since it uses less digits than its factorization.

122103012441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122103012441 its reverse (144210301221), we get a palindrome (266313313662).

The spelling of 122103012441 in words is "one hundred twenty-two billion, one hundred three million, twelve thousand, four hundred forty-one".

Divisors: 1 3 19 57 569 1707 1889 1993 5667 5979 10811 32433 35891 37867 107673 113601 1074841 1134017 3224523 3402051 3764777 11294331 20421979 21546323 61265937 64638969 71530763 214592289 2142158113 6426474339 40701004147 122103012441