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202122011122002 = 2345938535488423
BaseRepresentation
bin101101111101010000110010…
…101011001001100101010010
3222111122200020110221002210000
4231331100302223021211102
5202443031334321401002
61553513323044150430
760400555600251456
oct5575206253114522
9874580213832700
10202122011122002
1159447510a71a54
121a804724698416
1388a204057a11a
1437caa8696c666
1518579cd88061c
hexb7d432ac9952

202122011122002 has 80 divisors (see below), whose sum is σ = 460698969170880. Its totient is φ = 66214869635808.

The previous prime is 202122011122001. The next prime is 202122011122013. The reversal of 202122011122002 is 200221110221202.

It is a happy number.

202122011122002 is a `hidden beast` number, since 20 + 212 + 201 + 11 + 220 + 0 + 2 = 666.

202122011122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (202122011122001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34082763 + ... + 39571185.

It is an arithmetic number, because the mean of its divisors is an integer number (5758737114636).

Almost surely, 2202122011122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122011122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230349484585440).

202122011122002 is an abundant number, since it is smaller than the sum of its proper divisors (258576958048878).

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

202122011122002 is a wasteful number, since it uses less digits than its factorization.

202122011122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5492349 (or 5492340 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202122011122002 its reverse (200221110221202), we get a palindrome (402343121343204).

The spelling of 202122011122002 in words is "two hundred two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 3186 3853 4779 7706 9558 11559 23118 34677 69354 104031 208062 227327 312093 454654 624186 681981 1363962 2045943 4091886 5488423 6137829 10976846 12275658 16465269 18413487 32930538 36826974 49395807 98791614 148187421 296374842 323816957 444562263 647633914 889124526 971450871 1942901742 2914352613 5828705226 8743057839 17486115678 21146893819 26229173517 42293787638 52458347034 63440681457 126881362914 190322044371 380644088742 570966133113 1141932266226 1247666735321 1712898399339 2495333470642 3425796798678 3743000205963 7486000411926 11229000617889 22458001235778 33687001853667 67374003707334 101061005561001 202122011122002