Search a number
-
+
1120010100020 = 22572171311932659
BaseRepresentation
bin10000010011000101110…
…011011101110100110100
310222001221102121011121022
4100103011303131310310
5121322240041200040
62214305303240312
7143626615525400
oct20230563356464
93861842534538
101120010100020
113a1aa2559339
12161095149098
13818025ab146
143c2ccc5c100
151e2025646b5
hex104c5cddd34

1120010100020 has 288 divisors, whose sum is σ = 2935309829760. Its totient is φ = 356663623680.

The previous prime is 1120010100017. The next prime is 1120010100049. The reversal of 1120010100020 is 200010100211.

It is a junction number, because it is equal to n+sod(n) for n = 1120010099980 and 1120010100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421213451 + ... + 421216109.

It is an arithmetic number, because the mean of its divisors is an integer number (10192048020).

Almost surely, 21120010100020 is an apocalyptic number.

1120010100020 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 1120010100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467654914880).

1120010100020 is an abundant number, since it is smaller than the sum of its proper divisors (1815299729740).

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

1120010100020 is a wasteful number, since it uses less digits than its factorization.

1120010100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1120010100020 its reverse (200010100211), we get a palindrome (1320020200231).

The spelling of 1120010100020 in words is "one trillion, one hundred twenty billion, ten million, one hundred thousand, twenty".