Search a number
-
+
1010022121220 = 2257431512394649
BaseRepresentation
bin11101011001010100000…
…00100111111100000100
310120120001011210221012212
432230222000213330010
5113022011130334340
62051555303202552
7132654201243230
oct16545200477404
93516034727185
101010022121220
1135a391179a02
121438ba446458
137432472ca98
1436c574c75c0
151b416543a65
hexeb2a027f04

1010022121220 has 192 divisors, whose sum is σ = 2507839488000. Its totient is φ = 334522137600.

The previous prime is 1010022121193. The next prime is 1010022121223. The reversal of 1010022121220 is 221212200101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1010022121195 and 1010022121204.

It is not an unprimeable number, because it can be changed into a prime (1010022121223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217253456 + ... + 217258104.

It is an arithmetic number, because the mean of its divisors is an integer number (13061664000).

Almost surely, 21010022121220 is an apocalyptic number.

1010022121220 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 1010022121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253919744000).

1010022121220 is an abundant number, since it is smaller than the sum of its proper divisors (1497817366780).

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

1010022121220 is a wasteful number, since it uses less digits than its factorization.

1010022121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1010022121220 its reverse (221212200101), we get a palindrome (1231234321321).

It can be divided in two parts, 101002 and 2121220, that added together give a palindrome (2222222).

The spelling of 1010022121220 in words is "one trillion, ten billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty".