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2133031312032 = 25341569952423
BaseRepresentation
bin11111000010100010100…
…100101101101010100000
321112220201121201200221220
4133002202210231222200
5234421422003441112
64311522343415040
7310051334666565
oct37024244555240
97486647650856
102133031312032
11752682627575
122a548ba54480
131261b446465a
147534c79286c
153a74201c98c
hex1f0a292daa0

2133031312032 has 96 divisors (see below), whose sum is σ = 5745859701120. Its totient is φ = 692448890880.

The previous prime is 2133031312019. The next prime is 2133031312033. The reversal of 2133031312032 is 2302131303312.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2133031311993 and 2133031312011.

It is not an unprimeable number, because it can be changed into a prime (2133031312033) 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, 1763373 + ... + 2715795.

It is an arithmetic number, because the mean of its divisors is an integer number (59852705220).

Almost surely, 22133031312032 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 2133031312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872929850560).

2133031312032 is an abundant number, since it is smaller than the sum of its proper divisors (3612828389088).

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

2133031312032 is a wasteful number, since it uses less digits than its factorization.

2133031312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953046 (or 953038 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2133031312032 its reverse (2302131303312), we get a palindrome (4435162615344).

The spelling of 2133031312032 in words is "two trillion, one hundred thirty-three billion, thirty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 569 656 984 1138 1312 1707 1968 2276 3414 3936 4552 6828 9104 13656 18208 23329 27312 46658 54624 69987 93316 139974 186632 279948 373264 559896 746528 952423 1119792 1904846 2239584 2857269 3809692 5714538 7619384 11429076 15238768 22858152 30477536 39049343 45716304 78098686 91432608 117148029 156197372 234296058 312394744 468592116 541928687 624789488 937184232 1083857374 1249578976 1625786061 1874368464 2167714748 3251572122 3748736928 4335429496 6503144244 8670858992 13006288488 17341717984 22219076167 26012576976 44438152334 52025153952 66657228501 88876304668 133314457002 177752609336 266628914004 355505218672 533257828008 711010437344 1066515656016 2133031312032