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1002152135142 = 23419719452831
BaseRepresentation
bin11101001010101001110…
…11000000100111100110
310112210201201001012220000
432211110323000213212
5112404401421311032
62044214330122130
7132255156412344
oct16452473004746
93483651035800
101002152135142
11357012832984
12142282880346
137366c10b8a2
143670c1c4994
151b10567ae7c
hexe954ec09e6

1002152135142 has 80 divisors (see below), whose sum is σ = 2367043430400. Its totient is φ = 316028245680.

The previous prime is 1002152135129. The next prime is 1002152135189. The reversal of 1002152135142 is 2415312512001.

It is a happy number.

1002152135142 is a `hidden beast` number, since 100 + 2 + 1 + 521 + 35 + 1 + 4 + 2 = 666.

1002152135142 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1986667 + ... + 2439497.

It is an arithmetic number, because the mean of its divisors is an integer number (29588042880).

Almost surely, 21002152135142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002152135142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183521715200).

1002152135142 is an abundant number, since it is smaller than the sum of its proper divisors (1364891295258).

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

1002152135142 is a wasteful number, since it uses less digits than its factorization.

1002152135142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453583 (or 453574 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1002152135142 its reverse (2415312512001), we get a palindrome (3417464647143).

The spelling of 1002152135142 in words is "one trillion, two billion, one hundred fifty-two million, one hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 719 1026 1438 1539 2157 3078 4314 6471 12942 13661 19413 27322 38826 40983 58239 81966 116478 122949 245898 368847 452831 737694 905662 1106541 1358493 2213082 2716986 4075479 8150958 8603789 12226437 17207578 24452874 25811367 36679311 51622734 73358622 77434101 154868202 232302303 325585489 464604606 651170978 696906909 976756467 1393813818 1953512934 2930269401 5860538802 6186124291 8790808203 12372248582 17581616406 18558372873 26372424609 37116745746 52744849218 55675118619 111350237238 167025355857 334050711714 501076067571 1002152135142