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1020132022332 = 223599228162219
BaseRepresentation
bin11101101100001001001…
…10110101100000111100
310121112010202101010022210
432312010212311200330
5113203212244203312
62100350413340420
7133462552055463
oct16660446654074
93545122333283
101020132022332
113636a9a28285
12145860197710
13752761195a7
14375360979da
151b808daee3c
hexed849b583c

1020132022332 has 48 divisors (see below), whose sum is σ = 2385365472000. Its totient is φ = 339322039680.

The previous prime is 1020132022313. The next prime is 1020132022333. The reversal of 1020132022332 is 2332202310201.

It is a happy number.

1020132022332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201320223322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020132022299 and 1020132022308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020132022333) 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, 16364719 + ... + 16426937.

It is an arithmetic number, because the mean of its divisors is an integer number (49695114000).

Almost surely, 21020132022332 is an apocalyptic number.

1020132022332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020132022332 is an abundant number, since it is smaller than the sum of its proper divisors (1365233449668).

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

1020132022332 is a wasteful number, since it uses less digits than its factorization.

1020132022332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65106 (or 65104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1020132022332 its reverse (2332202310201), we get a palindrome (3352334332533).

The spelling of 1020132022332 in words is "one trillion, twenty billion, one hundred thirty-two million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 599 1198 1797 2281 2396 3594 4562 6843 7188 9124 13686 27372 62219 124438 186657 248876 373314 746628 1366319 2732638 4098957 5465276 8197914 16395828 37269181 74538362 111807543 141921539 149076724 223615086 283843078 425764617 447230172 567686156 851529234 1703058468 85011001861 170022003722 255033005583 340044007444 510066011166 1020132022332