Search a number
-
+
101020200021 = 3213863420513
BaseRepresentation
bin101111000010101000…
…1011110110001010101
3100122202021022212120200
41132011101132301111
53123342132400041
6114224045251113
710204242350406
oct1360521366125
9318667285520
10101020200021
113992a2a6514
12176b3563a99
1396abca00b0
144c647499ad
152963aab1b6
hex178545ec55

101020200021 has 12 divisors (see below), whose sum is σ = 157142533548. Its totient is φ = 62166276864.

The previous prime is 101020199983. The next prime is 101020200077. The reversal of 101020200021 is 120002020101.

It can be written as a sum of positive squares in 2 ways, for example, as 36547880625 + 64472319396 = 191175^2 + 253914^2 .

It is not a de Polignac number, because 101020200021 - 27 = 101020199893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101020199976 and 101020200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431710140 + ... + 431710373.

It is an arithmetic number, because the mean of its divisors is an integer number (13095211129).

Almost surely, 2101020200021 is an apocalyptic number.

It is an amenable number.

101020200021 is a deficient number, since it is larger than the sum of its proper divisors (56122333527).

101020200021 is a wasteful number, since it uses less digits than its factorization.

101020200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863420532 (or 863420529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020200021 its reverse (120002020101), we get a palindrome (221022220122).

The spelling of 101020200021 in words is "one hundred one billion, twenty million, two hundred thousand, twenty-one".

Divisors: 1 3 9 13 39 117 863420513 2590261539 7770784617 11224466669 33673400007 101020200021