Search a number
-
+
10220202020 = 2257411780523
BaseRepresentation
bin10011000010010101…
…11110100000100100
3222101021010001111202
421201022332200210
5131412332431040
64410050222032
7511160166230
oct114112764044
928337101452
1010220202020
114375046056
121b92884918
13c6b4c8b22
146cd4c35c0
153ec3a8015
hex2612be824

10220202020 has 48 divisors (see below), whose sum is σ = 25126754688. Its totient is φ = 3418602240.

The previous prime is 10220201963. The next prime is 10220202023. The reversal of 10220202020 is 2020202201.

It is a super-2 number, since 2×102202020202 (a number of 21 digits) contains 22 as substring.

10220202020 is a modest number, since divided by 202020 gives 10220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10220201992 and 10220202010.

It is not an unprimeable number, because it can be changed into a prime (10220202023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884522 + ... + 896001.

It is an arithmetic number, because the mean of its divisors is an integer number (523474056).

Almost surely, 210220202020 is an apocalyptic number.

10220202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220202020 is an abundant number, since it is smaller than the sum of its proper divisors (14906552668).

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

10220202020 is a wasteful number, since it uses less digits than its factorization.

10220202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780580 (or 1780578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10220202020 its reverse (2020202201), we get a palindrome (12240404221).

The spelling of 10220202020 in words is "ten billion, two hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 1780523 3561046 7122092 8902615 12463661 17805230 24927322 35610460 49854644 62318305 73001443 124636610 146002886 249273220 292005772 365007215 511010101 730014430 1022020202 1460028860 2044040404 2555050505 5110101010 10220202020