Search a number
-
+
102212120221020 = 223551731127314233
BaseRepresentation
bin10111001111011000011101…
…000111100001010101011100
3111101220101100101210002100000
4113033120131013201111130
5101344120410234033040
61001215333320134300
730346403423602545
oct2717303507412534
9441811311702300
10102212120221020
112a627a0a222647
12b569488307390
13450573ba346a4
141b351433374cc
15bc3b89cdd130
hex5cf61d1e155c

102212120221020 has 576 divisors, whose sum is σ = 354190004453376. Its totient is φ = 24630157762560.

The previous prime is 102212120220919. The next prime is 102212120221021. The reversal of 102212120221020 is 20122021212201.

It is a happy number.

102212120221020 is a `hidden beast` number, since 1 + 0 + 221 + 212 + 0 + 2 + 210 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102212120220984 and 102212120221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212120221021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325117824 + ... + 325432056.

It is an arithmetic number, because the mean of its divisors is an integer number (614913202176).

Almost surely, 2102212120221020 is an apocalyptic number.

102212120221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212120221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177095002226688).

102212120221020 is an abundant number, since it is smaller than the sum of its proper divisors (251977884232356).

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

102212120221020 is a wasteful number, since it uses less digits than its factorization.

102212120221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314432 (or 314418 counting only the distinct ones).

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

Adding to 102212120221020 its reverse (20122021212201), we get a palindrome (122334141433221).

The spelling of 102212120221020 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, twenty".