Search a number
-
+
1020212000112 = 243101210439769
BaseRepresentation
bin11101101100010010101…
…11111011010101110000
310121112100022212102012210
432312021113323111300
5113203343233000422
62100402351452120
7133464542630034
oct16661127732560
93545308772183
101020212000112
11363740093818
12145882b27040
137528986c816
14375429561c4
151b810e0c10c
hexed895fb570

1020212000112 has 40 divisors (see below), whose sum is σ = 2661642210960. Its totient is φ = 336703628800.

The previous prime is 1020212000099. The next prime is 1020212000117. The reversal of 1020212000112 is 2110002120201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105215037 + ... + 105224732.

It is an arithmetic number, because the mean of its divisors is an integer number (66541055274).

Almost surely, 21020212000112 is an apocalyptic number.

1020212000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020212000112 is an abundant number, since it is smaller than the sum of its proper divisors (1641430210848).

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

1020212000112 is a wasteful number, since it uses less digits than its factorization.

1020212000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210439881 (or 210439875 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020212000112 its reverse (2110002120201), we get a palindrome (3130214120313).

The spelling of 1020212000112 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 210439769 420879538 631319307 841759076 1262638614 1683518152 2525277228 3367036304 5050554456 10101108912 21254416669 42508833338 63763250007 85017666676 127526500014 170035333352 255053000028 340070666704 510106000056 1020212000112