Search a number
-
+
21100002121120 = 25513172812123557
BaseRepresentation
bin1001100110000101110100…
…01000011001010110100000
32202201010210102112001000111
410303002322020121112200
510231200301020333440
6112513112425101104
74305265502542306
oct463027210312640
982633712461014
1021100002121120
1167a550813771a
1224493a4027794
13ba094c6525c0
1452d361b18276
15268cd5b054ea
hex1330ba2195a0

21100002121120 has 192 divisors, whose sum is σ = 57043422719136. Its totient is φ = 7306391715840.

The previous prime is 21100002121117. The next prime is 21100002121127. The reversal of 21100002121120 is 2112120000112.

It can be written as a sum of positive squares in 16 ways, for example, as 3011210560656 + 18088791560464 = 1735284^2 + 4253092^2 .

It is a super-2 number, since 2×211000021211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 21100002121120.

It is not an unprimeable number, because it can be changed into a prime (21100002121127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8874382 + ... + 10997938.

Almost surely, 221100002121120 is an apocalyptic number.

21100002121120 is a gapful number since it is divisible by the number (20) 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 21100002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28521711359568).

21100002121120 is an abundant number, since it is smaller than the sum of its proper divisors (35943420598016).

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

21100002121120 is a wasteful number, since it uses less digits than its factorization.

21100002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123883 (or 2123875 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21100002121120 its reverse (2112120000112), we get a palindrome (23212122121232).

The spelling of 21100002121120 in words is "twenty-one trillion, one hundred billion, two million, one hundred twenty-one thousand, one hundred twenty".