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11331123223232 = 262921132889319
BaseRepresentation
bin1010010011100011101110…
…0100110001101011000000
31111010020121110102021001002
42210320323210301223000
52441122120021120412
640033240211231132
72246434540143101
oct244707344615300
944106543367032
1011331123223232
1136795587264aa
12133006a2a84a8
1364269c239c87
142b2601d883a8
15149b363b3dc2
hexa4e3b931ac0

11331123223232 has 56 divisors (see below), whose sum is σ = 23271565648800. Its totient is φ = 5467606695936.

The previous prime is 11331123223201. The next prime is 11331123223249. The reversal of 11331123223232 is 23232232113311.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 11331123223195 and 11331123223204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2477069 + ... + 5366387.

It is an arithmetic number, because the mean of its divisors is an integer number (415563672300).

Almost surely, 211331123223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331123223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635782824400).

11331123223232 is an abundant number, since it is smaller than the sum of its proper divisors (11940442425568).

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

11331123223232 is a wasteful number, since it uses less digits than its factorization.

11331123223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891473 (or 2891463 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

Adding to 11331123223232 its reverse (23232232113311), we get a palindrome (34563355336543).

The spelling of 11331123223232 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2113 4226 8452 16904 33808 61277 67616 122554 135232 245108 490216 980432 1960864 2889319 3921728 5778638 11557276 23114552 46229104 83790251 92458208 167580502 184916416 335161004 670322008 1340644016 2681288032 5362576064 6105131047 12210262094 24420524188 48841048376 97682096752 177048800363 195364193504 354097600726 390728387008 708195201452 1416390402904 2832780805808 5665561611616 11331123223232