Search a number
-
+
1010013301220 = 2257115397193661
BaseRepresentation
bin11101011001010010111…
…10111110100111100100
310120120000120012211110012
432230221132332213210
5113022001401114340
62051554350145352
7132654033260030
oct16545136764744
93516016184405
101010013301220
1135a3871a5350
121438b74b2258
1374322962351
1436c5626d1c0
151b4158a0565
hexeb297be9e4

1010013301220 has 384 divisors, whose sum is σ = 2740312415232. Its totient is φ = 303641395200.

The previous prime is 1010013301217. The next prime is 1010013301279. The reversal of 1010013301220 is 221033100101.

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 = 1010013301195 and 1010013301204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1528007690 + ... + 1528008350.

It is an arithmetic number, because the mean of its divisors is an integer number (7136230248).

Almost surely, 21010013301220 is an apocalyptic number.

1010013301220 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 1010013301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370156207616).

1010013301220 is an abundant number, since it is smaller than the sum of its proper divisors (1730299114012).

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

1010013301220 is a wasteful number, since it uses less digits than its factorization.

1010013301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010013301220 its reverse (221033100101), we get a palindrome (1231046401321).

The spelling of 1010013301220 in words is "one trillion, ten billion, thirteen million, three hundred one thousand, two hundred twenty".