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102011220022221 = 3223977472727197
BaseRepresentation
bin10111001100011101010110…
…100010000101001111001101
3111101012011210022121120020100
4113030131112202011033031
5101332322434311202341
61000543150231441313
730326032062231336
oct2714352642051715
9441164708546210
10102011220022221
112a55a7963037a4
12b53655b226239
1344bc80307c503
141b2952588728d
15bbd82c7ed3b6
hex5cc7568853cd

102011220022221 has 12 divisors (see below), whose sum is σ = 147355685797372. Its totient is φ = 68004643507776.

The previous prime is 102011220022177. The next prime is 102011220022247. The reversal of 102011220022221 is 122220022110201.

It is a happy number.

102011220022221 is a `hidden beast` number, since 1 + 0 + 201 + 1 + 220 + 0 + 22 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32508402204996 + 69502817817225 = 5701614^2 + 8336835^2 .

It is not a de Polignac number, because 102011220022221 - 27 = 102011220022093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011220022194 and 102011220022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011220022291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236147806 + ... + 236579391.

Almost surely, 2102011220022221 is an apocalyptic number.

It is an amenable number.

102011220022221 is a deficient number, since it is larger than the sum of its proper divisors (45344465775151).

102011220022221 is a wasteful number, since it uses less digits than its factorization.

102011220022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472751180 (or 472751177 counting only the distinct ones).

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

Adding to 102011220022221 its reverse (122220022110201), we get a palindrome (224231242132422).

The spelling of 102011220022221 in words is "one hundred two trillion, eleven billion, two hundred twenty million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 23977 71931 215793 472727197 1418181591 4254544773 11334580002469 34003740007407 102011220022221