Search a number
-
+
122100222022002 = 2327980579882511
BaseRepresentation
bin11011110000110010101100…
…010111000101000101110010
3121000022200000102001010002100
4123300302230113011011302
5112000442223314201002
61111404022335401230
734501310216625210
oct3360625427050562
9530280012033070
10122100222022002
11359a5460204554
121183ba11383216
135319003498633
14222197a255cb0
15e1b1910c711c
hex6f0cac5c5172

122100222022002 has 48 divisors (see below), whose sum is σ = 302346520849152. Its totient is φ = 34885418420160.

The previous prime is 122100222021997. The next prime is 122100222022039. The reversal of 122100222022002 is 200220222001221.

122100222022002 is a `hidden beast` number, since 1 + 221 + 0 + 0 + 2 + 220 + 220 + 0 + 2 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7413927 + ... + 17296437.

It is an arithmetic number, because the mean of its divisors is an integer number (6298885851024).

Almost surely, 2122100222022002 is an apocalyptic number.

122100222022002 is an abundant number, since it is smaller than the sum of its proper divisors (180246298827150).

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

122100222022002 is a wasteful number, since it uses less digits than its factorization.

122100222022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980583 (or 9980580 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122100222022002 its reverse (200220222001221), we get a palindrome (322320444023223).

The spelling of 122100222022002 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twenty-two million, twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 98057 196114 294171 588342 686399 882513 1372798 1765026 2059197 4118394 6177591 9882511 12355182 19765022 29647533 59295066 69177577 88942599 138355154 177885198 207532731 415065462 622598193 1245196386 969049381127 1938098762254 2907148143381 5814296286762 6783345667889 8721444430143 13566691335778 17442888860286 20350037003667 40700074007334 61050111011001 122100222022002