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11021031311400 = 23325211250601613
BaseRepresentation
bin1010000001100000100010…
…1010000000100000101000
31110000121012121202222211200
42200120020222000200220
52421032033003431100
635234554125324200
72215146300321105
oct240301052004050
943017177688750
1011021031311400
113569aa1948500
12129bb49106660
1361c38167ca06
142a15c67d9aac
15141a37c3de00
hexa0608a80828

11021031311400 has 216 divisors, whose sum is σ = 40682938631790. Its totient is φ = 2671765113600.

The previous prime is 11021031311383. The next prime is 11021031311447. The reversal of 11021031311400 is 411313012011.

It is a happy number.

11021031311400 is a `hidden beast` number, since 1 + 1 + 0 + 210 + 313 + 1 + 140 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4419656880804 + 6601374430596 = 2102298^2 + 2569314^2 .

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25083007 + ... + 25518606.

Almost surely, 211021031311400 is an apocalyptic number.

11021031311400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021031311400 is an abundant number, since it is smaller than the sum of its proper divisors (29661907320390).

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

11021031311400 is a wasteful number, since it uses less digits than its factorization.

11021031311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50601657 (or 50601634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11021031311400 its reverse (411313012011), we get a palindrome (11432344323411).

The spelling of 11021031311400 in words is "eleven trillion, twenty-one billion, thirty-one million, three hundred eleven thousand, four hundred".