Search a number
-
+
1112212121020 = 22571113232105019
BaseRepresentation
bin10000001011110101000…
…000100010010110111100
310221022210222022210102021
4100023311000202112330
5121210302300333040
62210535421405524
7143232440020630
oct20136500422674
93838728283367
101112212121020
113997608242a0
1215b6797098a4
1380b5bb7c1a0
143bb8d340dc0
151dde7b7224a
hex102f50225bc

1112212121020 has 288 divisors, whose sum is σ = 3278277434880. Its totient is φ = 306081262080.

The previous prime is 1112212121011. The next prime is 1112212121029. The reversal of 1112212121020 is 201212122111.

It is an interprime number because it is at equal distance from previous prime (1112212121011) and next prime (1112212121029).

It is a junction number, because it is equal to n+sod(n) for n = 1112212120985 and 1112212121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112212121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10538071 + ... + 10643089.

It is an arithmetic number, because the mean of its divisors is an integer number (11382907760).

Almost surely, 21112212121020 is an apocalyptic number.

1112212121020 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 1112212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639138717440).

1112212121020 is an abundant number, since it is smaller than the sum of its proper divisors (2166065313860).

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

1112212121020 is a wasteful number, since it uses less digits than its factorization.

1112212121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105105 (or 105080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1112212121020 its reverse (201212122111), we get a palindrome (1313424243131).

The spelling of 1112212121020 in words is "one trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, twenty".