Search a number
-
+
100101221212200 = 233521344812863979
BaseRepresentation
bin10110110000101010100001…
…101110110110000000101000
3111010102120202012212212201220
4112300222201232312000220
5101110024300112242300
6552521511032342040
730041034402224205
oct2660524156660050
9433376665785656
10100101221212200
112999376481705a
12b288354544920
1343b1673965c50
141aa0cd4124cac
15b88ce0d34da0
hex5b0aa1bb6028

100101221212200 has 192 divisors, whose sum is σ = 334258771694400. Its totient is φ = 24634793164800.

The previous prime is 100101221212199. The next prime is 100101221212229. The reversal of 100101221212200 is 2212122101001.

It is a super-3 number, since 3×1001012212122003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100101221212200.

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, 33519811 + ... + 36383789.

It is an arithmetic number, because the mean of its divisors is an integer number (1740931102575).

Almost surely, 2100101221212200 is an apocalyptic number.

100101221212200 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 100101221212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167129385847200).

100101221212200 is an abundant number, since it is smaller than the sum of its proper divisors (234157550482200).

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

100101221212200 is a wasteful number, since it uses less digits than its factorization.

100101221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868492 (or 2868483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100101221212200 its reverse (2212122101001), we get a palindrome (102313343313201).

The spelling of 100101221212200 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".