Search a number
-
+
122003313012021 = 37193261891149413
BaseRepresentation
bin11011101111011000011100…
…001000100010110100110101
3120222222101212122122100000110
4123233120130020202310311
5111442400241112341041
61111251314231133233
734461306554630340
oct3357303410426465
9528871778570013
10122003313012021
1135968350636a61
1211825086814219
13530cb2b17ab8c
14221adc5925457
15e188bd406516
hex6ef61c222d35

122003313012021 has 32 divisors (see below), whose sum is σ = 186880371713280. Its totient is φ = 69352246554624.

The previous prime is 122003313011969. The next prime is 122003313012073. The reversal of 122003313012021 is 120210313300221.

122003313012021 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122003313011969) and next prime (122003313012073).

It is not a de Polignac number, because 122003313012021 - 219 = 122003312487733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003313092021) 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, 105569311 + ... + 106718723.

It is an arithmetic number, because the mean of its divisors is an integer number (5840011616040).

Almost surely, 2122003313012021 is an apocalyptic number.

It is an amenable number.

122003313012021 is a deficient number, since it is larger than the sum of its proper divisors (64877058701259).

122003313012021 is a wasteful number, since it uses less digits than its factorization.

122003313012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175805.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122003313012021 its reverse (120210313300221), we get a palindrome (242213626312242).

The spelling of 122003313012021 in words is "one hundred twenty-two trillion, three billion, three hundred thirteen million, twelve thousand, twenty-one".

Divisors: 1 3 7 21 193 579 1351 4053 26189 78567 183323 549969 1149413 3448239 5054477 8045891 15163431 24137673 35381339 106144017 221836709 665510127 1552856963 4658570889 30101977057 90305931171 210713839399 632141518197 5809681572001 17429044716003 40667771004007 122003313012021