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1020134242332 = 223383113803463
BaseRepresentation
bin11101101100001001011…
…11010011100000011100
310121112010220112220121000
432312010233103200130
5113203213331223312
62100350533110300
7133462606663002
oct16660457234034
93545126486530
101020134242332
11363700204197
12145860a88390
1375276715bba
14375364b4a72
151b80919cadc
hexed84bd381c

1020134242332 has 48 divisors (see below), whose sum is σ = 2676657473280. Its totient is φ = 335947819824.

The previous prime is 1020134242243. The next prime is 1020134242339. The reversal of 1020134242332 is 2332424310201.

1020134242332 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 3 + 424 + 233 + 2 = 666.

1020134242332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1020134242296 and 1020134242305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020134242339) 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, 56892768 + ... + 56910695.

It is an arithmetic number, because the mean of its divisors is an integer number (55763697360).

Almost surely, 21020134242332 is an apocalyptic number.

1020134242332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020134242332 is an abundant number, since it is smaller than the sum of its proper divisors (1656523230948).

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

1020134242332 is a wasteful number, since it uses less digits than its factorization.

1020134242332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113803559 (or 113803551 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1020134242332 its reverse (2332424310201), we get a palindrome (3352558552533).

The spelling of 1020134242332 in words is "one trillion, twenty billion, one hundred thirty-four million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 113803463 227606926 341410389 455213852 682820778 1024231167 1365641556 2048462334 3072693501 4096924668 6145387002 9445687429 12290774004 18891374858 28337062287 37782749716 56674124574 85011186861 113348249148 170022373722 255033560583 340044747444 510067121166 1020134242332