Search a number
-
+
10221110000 = 24547511361
BaseRepresentation
bin10011000010011100…
…11100001011110000
3222101022211012000122
421201032130023300
5131413101010000
64410121505412
7511201000343
oct114116341360
928338735018
1010221110000
114375606252
121b93042268
13c6b7561aa
146cd67c45a
153ec4d7085
hex26139c2f0

10221110000 has 100 divisors (see below), whose sum is σ = 24797487264. Its totient is φ = 4080000000.

The previous prime is 10221109999. The next prime is 10221110063. The reversal of 10221110000 is 1112201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10221110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7509320 + ... + 7510680.

Almost surely, 210221110000 is an apocalyptic number.

10221110000 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 10221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398743632).

10221110000 is an abundant number, since it is smaller than the sum of its proper divisors (14576377264).

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

10221110000 is an equidigital number, since it uses as much as digits as its factorization.

10221110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10221110000 its reverse (1112201), we get a palindrome (10222222201).

It can be divided in two parts, 102211 and 10000, that added together give a palindrome (112211).

The spelling of 10221110000 in words is "ten billion, two hundred twenty-one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 751 1000 1250 1361 1502 2000 2500 2722 3004 3755 5000 5444 6008 6805 7510 10000 10888 12016 13610 15020 18775 21776 27220 30040 34025 37550 54440 60080 68050 75100 93875 108880 136100 150200 170125 187750 272200 300400 340250 375500 469375 544400 680500 751000 850625 938750 1022111 1361000 1502000 1701250 1877500 2044222 2722000 3402500 3755000 4088444 5110555 6805000 7510000 8176888 10221110 13610000 16353776 20442220 25552775 40884440 51105550 81768880 102211100 127763875 204422200 255527750 408844400 511055500 638819375 1022111000 1277638750 2044222000 2555277500 5110555000 10221110000