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102212020 = 22519268979
BaseRepresentation
bin1100001011110…
…10000110110100
321010022220112101
412011322012310
5202131241040
614050431444
72350534141
oct605720664
9233286471
10102212020
1152772449
122a292584
13182395b1
14d8093c8
158e9009a
hex617a1b4

102212020 has 24 divisors (see below), whose sum is σ = 225943200. Its totient is φ = 38732832.

The previous prime is 102212009. The next prime is 102212021. The reversal of 102212020 is 20212201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102211988 and 102212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134110 + ... + 134869.

It is an arithmetic number, because the mean of its divisors is an integer number (9414300).

Almost surely, 2102212020 is an apocalyptic number.

102212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212020 is an abundant number, since it is smaller than the sum of its proper divisors (123731180).

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

102212020 is a wasteful number, since it uses less digits than its factorization.

102212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269007 (or 269005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102212020 is about 10109.9960435205. The cubic root of 102212020 is about 467.5563831450.

Adding to 102212020 its reverse (20212201), we get a palindrome (122424221).

The spelling of 102212020 in words is "one hundred two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 268979 537958 1075916 1344895 2689790 5110601 5379580 10221202 20442404 25553005 51106010 102212020