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1022020100 = 225294110861
BaseRepresentation
bin111100111010101…
…100101000000100
32122020010000000022
4330322230220010
54043114120400
6245225234312
734220012303
oct7472545004
92566100008
101022020100
114849a3912
12246332998
13133979c2a
1499a4043a
155ead0b85
hex3ceaca04

1022020100 has 36 divisors (see below), whose sum is σ = 2220344868. Its totient is φ = 408336000.

The previous prime is 1022020099. The next prime is 1022020151. The reversal of 1022020100 is 10202201.

It can be written as a sum of positive squares in 6 ways, for example, as 18524416 + 1003495684 = 4304^2 + 31678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88670 + ... + 99530.

Almost surely, 21022020100 is an apocalyptic number.

1022020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020100 is an abundant number, since it is smaller than the sum of its proper divisors (1198324768).

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

1022020100 is a wasteful number, since it uses less digits than its factorization.

1022020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11816 (or 11809 counting only the distinct ones).

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

The square root of 1022020100 is about 31969.0490943975. The cubic root of 1022020100 is about 1007.2868068093.

Adding to 1022020100 its reverse (10202201), we get a palindrome (1032222301).

It can be divided in two parts, 102 and 2020100, that added together give a palindrome (2020202).

The spelling of 1022020100 in words is "one billion, twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 941 1882 3764 4705 9410 10861 18820 21722 23525 43444 47050 54305 94100 108610 217220 271525 543050 1086100 10220201 20440402 40880804 51101005 102202010 204404020 255505025 511010050 1022020100