Search a number
-
+
10022221020 = 22357231037497
BaseRepresentation
bin10010101010101111…
…01111010011011100
3221212110120120122010
421111113233103130
5131011142033040
64334254551220
7503234321160
oct112527572334
927773516563
1010022221020
114283311a99
121b38508510
13c3949a7c6
146b10a8ca0
153d9cebe80
hex2555ef4dc

10022221020 has 96 divisors (see below), whose sum is σ = 33465535488. Its totient is φ = 2191191552.

The previous prime is 10022221007. The next prime is 10022221049. The reversal of 10022221020 is 2012222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10022220987 and 10022221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509089 + ... + 528408.

It is an arithmetic number, because the mean of its divisors is an integer number (348599328).

Almost surely, 210022221020 is an apocalyptic number.

10022221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022221020 is an abundant number, since it is smaller than the sum of its proper divisors (23443314468).

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

10022221020 is a wasteful number, since it uses less digits than its factorization.

10022221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037539 (or 1037537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022221020 its reverse (2012222001), we get a palindrome (12034443021).

The spelling of 10022221020 in words is "ten billion, twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 1037497 2074994 3112491 4149988 5187485 6224982 7262479 10374970 12449964 14524958 15562455 20749940 21787437 23862431 29049916 31124910 36312395 43574874 47724862 62249820 71587293 72624790 87149748 95449724 108937185 119312155 143174586 145249580 167037017 217874370 238624310 286349172 334074034 357936465 435748740 477248620 501111051 668148068 715872930 835185085 1002222102 1431745860 1670370170 2004444204 2505555255 3340740340 5011110510 10022221020