Search a number
-
+
10221111000 = 2332532834013
BaseRepresentation
bin10011000010011100…
…11100011011011000
3222101022211020101200
421201032130123120
5131413101023000
64410121514200
7511201003302
oct114116343330
928338736350
1010221111000
114375606a81
121b93042960
13c6b756799
146cd67c972
153ec4d7500
hex26139c6d8

10221111000 has 192 divisors, whose sum is σ = 34678069920. Its totient is φ = 2715321600.

The previous prime is 10221110969. The next prime is 10221111023. The reversal of 10221111000 is 11112201.

It is a happy number.

It is a super-4 number, since 4×102211110004 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2544994 + ... + 2549006.

Almost surely, 210221111000 is an apocalyptic number.

10221111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339034960).

10221111000 is an abundant number, since it is smaller than the sum of its proper divisors (24456958920).

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

10221111000 is a wasteful number, since it uses less digits than its factorization.

10221111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10221111000 its reverse (11112201), we get a palindrome (10232223201).

The spelling of 10221111000 in words is "ten billion, two hundred twenty-one million, one hundred eleven thousand".