Search a number
-
+
10012220000 = 25541912621
BaseRepresentation
bin10010101001100011…
…00101101001100000
3221211202202110210222
421110301211221200
5131001112020000
64333300342212
7503053315526
oct112461455140
927752673728
1010012220000
114278701092
121b350a4968
13c373a8643
146ada24316
153d8ec3a85
hex254c65a60

10012220000 has 120 divisors (see below), whose sum is σ = 24769971072. Its totient is φ = 3982400000.

The previous prime is 10012219969. The next prime is 10012220039. The reversal of 10012220000 is 2221001.

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 10012220000.

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, 3818690 + ... + 3821310.

Almost surely, 210012220000 is an apocalyptic number.

10012220000 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 10012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384985536).

10012220000 is an abundant number, since it is smaller than the sum of its proper divisors (14757751072).

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

10012220000 is an equidigital number, since it uses as much as digits as its factorization.

10012220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2819 counting only the distinct ones).

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

Adding to 10012220000 its reverse (2221001), we get a palindrome (10014441001).

The spelling of 10012220000 in words is "ten billion, twelve million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 382 400 500 625 764 800 955 1000 1250 1528 1910 2000 2500 2621 3056 3820 4000 4775 5000 5242 6112 7640 9550 10000 10484 13105 15280 19100 20000 20968 23875 26210 30560 38200 41936 47750 52420 65525 76400 83872 95500 104840 119375 131050 152800 191000 209680 238750 262100 327625 382000 419360 477500 500611 524200 655250 764000 955000 1001222 1048400 1310500 1638125 1910000 2002444 2096800 2503055 2621000 3276250 3820000 4004888 5006110 5242000 6552500 8009776 10012220 10484000 12515275 13105000 16019552 20024440 25030550 26210000 40048880 50061100 52420000 62576375 80097760 100122200 125152750 200244400 250305500 312881875 400488800 500611000 625763750 1001222000 1251527500 2002444000 2503055000 5006110000 10012220000