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11333001344401 = 1123268791666523
BaseRepresentation
bin1010010011101010101110…
…0001001111010110010001
31111010102110100102200221101
42210322223201033112101
52441134441321010101
640034150422024401
72246532224000032
oct244725341172621
944112410380841
1011333001344401
11367a331898760
1213304b3278101
1364290b380189
142b273d598a89
15149be61ee401
hexa4eab84f591

11333001344401 has 16 divisors (see below), whose sum is σ = 12901295554560. Its totient is φ = 9854411229520.

The previous prime is 11333001344393. The next prime is 11333001344437. The reversal of 11333001344401 is 10444310033311.

11333001344401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11333001344401 - 23 = 11333001344393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11333001344401.

It is not an unprimeable number, because it can be changed into a prime (11333001354401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5967126 + ... + 7633648.

It is an arithmetic number, because the mean of its divisors is an integer number (806330972160).

Almost surely, 211333001344401 is an apocalyptic number.

11333001344401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11333001344401 is a deficient number, since it is larger than the sum of its proper divisors (1568294210159).

11333001344401 is a wasteful number, since it uses less digits than its factorization.

11333001344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693436.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 11333001344401 its reverse (10444310033311), we get a palindrome (21777311377712).

The spelling of 11333001344401 in words is "eleven trillion, three hundred thirty-three billion, one million, three hundred forty-four thousand, four hundred one".

Divisors: 1 11 23 253 26879 295669 618217 1666523 6800387 18331753 38330029 421630319 44794471717 492739188887 1030272849491 11333001344401