Search a number
-
+
102021112222020 = 22325566783956789
BaseRepresentation
bin10111001100100110100100…
…001001110101000101000100
3111101020010022201112101021200
4113030212210021311011010
5101333003214212101040
61000551504003542500
730326532160443105
oct2714464411650504
9441203281471250
10102021112222020
112a563a02189932
12b53846008aa30
1344c071b624984
141b29bc35883ac
15bbdc0aeb5630
hex5cc9a4275144

102021112222020 has 36 divisors (see below), whose sum is σ = 309464040407340. Its totient is φ = 27205629925824.

The previous prime is 102021112221983. The next prime is 102021112222027. The reversal of 102021112222020 is 20222211120201.

It is a happy number.

102021112222020 is a `hidden beast` number, since 10 + 20 + 211 + 1 + 222 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42564428836164 + 59456683385856 = 6524142^2 + 7710816^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 102021112221984 and 102021112222002.

It is not an unprimeable number, because it can be changed into a prime (102021112222027) 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, 283391978215 + ... + 283391978574.

Almost surely, 2102021112222020 is an apocalyptic number.

102021112222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021112222020 is an abundant number, since it is smaller than the sum of its proper divisors (207442928185320).

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

102021112222020 is a wasteful number, since it uses less digits than its factorization.

102021112222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566783956804 (or 566783956799 counting only the distinct ones).

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

Adding to 102021112222020 its reverse (20222211120201), we get a palindrome (122243323342221).

The spelling of 102021112222020 in words is "one hundred two trillion, twenty-one billion, one hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 566783956789 1133567913578 1700351870367 2267135827156 2833919783945 3400703740734 5101055611101 5667839567890 6801407481468 8501759351835 10202111222202 11335679135780 17003518703670 20404222444404 25505278055505 34007037407340 51010556111010 102021112222020