Search a number
-
+
122002110021 = 3113244112517
BaseRepresentation
bin111000110011111100…
…1000111011001000101
3102122220112111100010110
41301213321013121011
53444330020010041
6132014052343233
711546216552601
oct1614771073105
9378815440113
10122002110021
1147817013000
121b78a314b19
13b673c1cc5c
145c951d0501
153290b33516
hex1c67e47645

122002110021 has 32 divisors (see below), whose sum is σ = 179011806336. Its totient is φ = 73904476800.

The previous prime is 122002109993. The next prime is 122002110031. The reversal of 122002110021 is 120011200221.

It is not a de Polignac number, because 122002110021 - 213 = 122002101829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122002109979 and 122002110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002110031) 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, 9740655 + ... + 9753171.

It is an arithmetic number, because the mean of its divisors is an integer number (5594118948).

Almost surely, 2122002110021 is an apocalyptic number.

122002110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122002110021 is a deficient number, since it is larger than the sum of its proper divisors (57009696315).

122002110021 is a wasteful number, since it uses less digits than its factorization.

122002110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 14972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122002110021 its reverse (120011200221), we get a palindrome (242013310242).

The spelling of 122002110021 in words is "one hundred twenty-two billion, two million, one hundred ten thousand, twenty-one".

Divisors: 1 3 11 33 121 363 1331 2441 3993 7323 12517 26851 37551 80553 137687 295361 413061 886083 1514557 3248971 4543671 9746913 16660127 30553997 49980381 91661991 336093967 1008281901 3697033637 11091100911 40667370007 122002110021