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11331132001032 = 2336110097670807
BaseRepresentation
bin1010010011100011110000…
…0110010000101100001000
31111010020122001221012220210
42210320330012100230020
52441122124243013112
640033241123321120
72246435004562254
oct244707406205410
944106561835823
1011331132001032
113679562681388
1213300712201a0
136426a0cc143c
142b26031d1264
15149b37049b3c
hexa4e3c190b08

11331132001032 has 64 divisors (see below), whose sum is σ = 28820759817600. Its totient is φ = 3711442775040.

The previous prime is 11331132000997. The next prime is 11331132001037. The reversal of 11331132001032 is 23010023113311.

It is a happy number.

It is a super-2 number, since 2×113311320010322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331132001037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358228 + ... + 5312579.

It is an arithmetic number, because the mean of its divisors is an integer number (450324372150).

Almost surely, 211331132001032 is an apocalyptic number.

11331132001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331132001032 is an abundant number, since it is smaller than the sum of its proper divisors (17489627816568).

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

11331132001032 is a wasteful number, since it uses less digits than its factorization.

11331132001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671886 (or 7671882 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331132001032 its reverse (23010023113311), we get a palindrome (34341155114343).

The spelling of 11331132001032 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1009 1464 2018 3027 4036 6054 8072 12108 24216 61549 123098 184647 246196 369294 492392 738588 1477176 7670807 15341614 23012421 30683228 46024842 61366456 92049684 184099368 467919227 935838454 1403757681 1871676908 2807515362 3743353816 5615030724 7739844263 11230061448 15479688526 23219532789 30959377052 46439065578 61918754104 92878131156 185756262312 472130500043 944261000086 1416391500129 1888522000172 2832783000258 3777044000344 5665566000516 11331132001032