Search a number
-
+
21332310101100 = 22345210126075431
BaseRepresentation
bin1001101100110110100001…
…10001000000110001101100
32210112100102100222011020000
410312123100301000301230
510244002032341213400
6113211532235224300
74331131350023625
oct466332061006154
983470370864200
1021332310101100
116884a88a13419
1224864175a8090
13bb9822243c9b
1453a6bc98ca4c
1526ed805ee600
hex1366d0c40c6c

21332310101100 has 180 divisors, whose sum is σ = 69835587038448. Its totient is φ = 5632292880000.

The previous prime is 21332310101093. The next prime is 21332310101227. The reversal of 21332310101100 is 110101323312.

21332310101100 is a `hidden beast` number, since 2 + 1 + 332 + 310 + 10 + 1 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12219616 + ... + 13855815.

Almost surely, 221332310101100 is an apocalyptic number.

21332310101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332310101100 is an abundant number, since it is smaller than the sum of its proper divisors (48503276937348).

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

21332310101100 is a wasteful number, since it uses less digits than its factorization.

21332310101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26075558 (or 26075542 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21332310101100 its reverse (110101323312), we get a palindrome (21442411424412).

The spelling of 21332310101100 in words is "twenty-one trillion, three hundred thirty-two billion, three hundred ten million, one hundred one thousand, one hundred".