Search a number
-
+
1010120220021 = 311791151933637
BaseRepresentation
bin11101011001011111101…
…10110101110101110101
310120120022000101212110210
432230233312311311311
5113022211234020041
62052013125540033
7132656502126453
oct16545766656565
93516260355423
101010120220021
1135a431591aa0
12143927274619
137433bb59103
1436c665419d3
151b41ee70016
hexeb2fdb5d75

1010120220021 has 32 divisors (see below), whose sum is σ = 1488037478400. Its totient is φ = 604374338880.

The previous prime is 1010120219993. The next prime is 1010120220079. The reversal of 1010120220021 is 1200220210101.

It is not a de Polignac number, because 1010120220021 - 213 = 1010120211829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010120219979 and 1010120220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010120220091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30013215 + ... + 30046851.

It is an arithmetic number, because the mean of its divisors is an integer number (46501171200).

Almost surely, 21010120220021 is an apocalyptic number.

1010120220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010120220021 is a deficient number, since it is larger than the sum of its proper divisors (477917258379).

1010120220021 is a wasteful number, since it uses less digits than its factorization.

1010120220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45249.

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

Adding to 1010120220021 its reverse (1200220210101), we get a palindrome (2210340430122).

The spelling of 1010120220021 in words is "one trillion, ten billion, one hundred twenty million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 11 33 79 237 869 2607 11519 33637 34557 100911 126709 370007 380127 910001 1110021 2657323 2730003 7971969 10010011 29230553 30030033 87691659 387464603 1162393809 4262110633 12786331899 30609703637 91829110911 336706740007 1010120220021