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122133110004 = 22323392586389
BaseRepresentation
bin111000110111110110…
…0110101110011110100
3102200020122222211022200
41301233230311303310
54000112034010004
6132035052224500
711552400210003
oct1615754656364
9380218884280
10122133110004
1147883a58254
121b80616b130
13b6950c8939
145ca8770c3a
15329c3ad239
hex1c6fb35cf4

122133110004 has 18 divisors (see below), whose sum is σ = 308725361490. Its totient is φ = 40711036656.

The previous prime is 122133110003. The next prime is 122133110017. The reversal of 122133110004 is 400011331221.

It can be written as a sum of positive squares in only one way, i.e., 108642752100 + 13490357904 = 329610^2 + 116148^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1696293159 + ... + 1696293230.

Almost surely, 2122133110004 is an apocalyptic number.

It is an amenable number.

122133110004 is an abundant number, since it is smaller than the sum of its proper divisors (186592251486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122133110004 is a wasteful number, since it uses less digits than its factorization.

122133110004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392586399 (or 3392586394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122133110004 its reverse (400011331221), we get a palindrome (522144441225).

The spelling of 122133110004 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 3392586389 6785172778 10177759167 13570345556 20355518334 30533277501 40711036668 61066555002 122133110004