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102012020 = 225111014591
BaseRepresentation
bin1100001010010…
…01010001110100
321002221202011222
412011021101310
5202103341040
614042245512
72346042065
oct605112164
9232852158
10102012020
1152646160
122a1b6898
1318199556
14d79656c
158e50bb5
hex6149474

102012020 has 48 divisors (see below), whose sum is σ = 236065536. Its totient is φ = 36720000.

The previous prime is 102012017. The next prime is 102012049. The reversal of 102012020 is 20210201.

It is a junction number, because it is equal to n+sod(n) for n = 102011989 and 102012007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19925 + ... + 24515.

It is an arithmetic number, because the mean of its divisors is an integer number (4918032).

Almost surely, 2102012020 is an apocalyptic number.

102012020 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 102012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118032768).

102012020 is an abundant number, since it is smaller than the sum of its proper divisors (134053516).

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

102012020 is a wasteful number, since it uses less digits than its factorization.

102012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102012020 is about 10100.0999995050. The cubic root of 102012020 is about 467.2512255105.

Adding to 102012020 its reverse (20210201), we get a palindrome (122222221).

It can be divided in two parts, 10201 and 2020, that added together give a palindrome (12221).

The spelling of 102012020 in words is "one hundred two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 4591 5555 9182 11110 18364 22220 22955 45910 50501 91820 101002 202004 252505 463691 505010 927382 1010020 1854764 2318455 4636910 5100601 9273820 10201202 20402404 25503005 51006010 102012020