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11331132001224 = 233767799626609
BaseRepresentation
bin1010010011100011110000…
…0110010000101111001000
31111010020122001221020011220
42210320330012100233020
52441122124243014344
640033241123322040
72246435004562650
oct244707406205710
944106561836156
1011331132001224
113679562681542
121330071220320
136426a0cc1559
142b26031d1360
15149b37049c19
hexa4e3c190bc8

11331132001224 has 64 divisors (see below), whose sum is σ = 32422483958400. Its totient is φ = 3232684176384.

The previous prime is 11331132001223. The next prime is 11331132001237. The reversal of 11331132001224 is 42210023113311.

It is a super-2 number, since 2×113311320012242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11331132001194 and 11331132001203.

It is not an unprimeable number, because it can be changed into a prime (11331132001223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49699569 + ... + 49927040.

It is an arithmetic number, because the mean of its divisors is an integer number (506601311850).

Almost surely, 211331132001224 is an apocalyptic number.

11331132001224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11331132001224 is an abundant number, since it is smaller than the sum of its proper divisors (21091351957176).

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

11331132001224 is a wasteful number, since it uses less digits than its factorization.

11331132001224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99627302 (or 99627298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11331132001224 its reverse (42210023113311), we get a palindrome (53541155114535).

The spelling of 11331132001224 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 677 1354 2031 2708 4062 4739 5416 8124 9478 14217 16248 18956 28434 37912 56868 113736 99626609 199253218 298879827 398506436 597759654 697386263 797012872 1195519308 1394772526 2092158789 2391038616 2789545052 4184317578 5579090104 8368635156 16737270312 67447214293 134894428586 202341642879 269788857172 404683285758 472130500051 539577714344 809366571516 944261000102 1416391500153 1618733143032 1888522000204 2832783000306 3777044000408 5665566000612 11331132001224