Search a number
-
+
10221131100 = 2235234070437
BaseRepresentation
bin10011000010011101…
…00001010101011100
3222101022212020222010
421201032201111130
5131413102143400
64410122151220
7511201116015
oct114116412534
928338766863
1010221131100
114375620094
121b93052510
13c6b76298b
146cd68600c
153ec4dd450
hex2613a155c

10221131100 has 36 divisors (see below), whose sum is σ = 29573140184. Its totient is φ = 2725634880.

The previous prime is 10221131099. The next prime is 10221131101. The reversal of 10221131100 is 113112201.

It is an interprime number because it is at equal distance from previous prime (10221131099) and next prime (10221131101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221131101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17034919 + ... + 17035518.

Almost surely, 210221131100 is an apocalyptic number.

10221131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221131100 is an abundant number, since it is smaller than the sum of its proper divisors (19352009084).

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

10221131100 is a wasteful number, since it uses less digits than its factorization.

10221131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34070454 (or 34070447 counting only the distinct ones).

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

Adding to 10221131100 its reverse (113112201), we get a palindrome (10334243301).

The spelling of 10221131100 in words is "ten billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 34070437 68140874 102211311 136281748 170352185 204422622 340704370 408845244 511056555 681408740 851760925 1022113110 1703521850 2044226220 2555282775 3407043700 5110565550 10221131100