Search a number
-
+
10011024315342 = 2342321131033783
BaseRepresentation
bin1001000110101101111110…
…0011000101001111001110
31022110001012111102111110000
42101223133203011033032
52303010034211042332
633143000122225130
72052162341441331
oct221533743051716
938401174374400
1010011024315342
11320a71926a336
1211582539551a6
1357806011753b
1426877132c618
15125622bd6b7c
hex91adf8c53ce

10011024315342 has 120 divisors (see below), whose sum is σ = 23657367366864. Its totient is φ = 3163670649216.

The previous prime is 10011024315311. The next prime is 10011024315353. The reversal of 10011024315342 is 24351342011001.

10011024315342 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 0 + 2 + 4 + 315 + 342 = 666.

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 59 ways as a sum of consecutive naturals, for example, 9166983 + ... + 10200765.

Almost surely, 210011024315342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011024315342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828683683432).

10011024315342 is an abundant number, since it is smaller than the sum of its proper divisors (13646343051522).

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

10011024315342 is a wasteful number, since it uses less digits than its factorization.

10011024315342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033956 (or 1033924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10011024315342 its reverse (24351342011001), we get a palindrome (34362366326343).

The spelling of 10011024315342 in words is "ten trillion, eleven billion, twenty-four million, three hundred fifteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 113 138 162 207 226 339 414 529 621 678 1017 1058 1242 1587 1863 2034 2599 3051 3174 3726 4761 5198 6102 7797 9153 9522 14283 15594 18306 23391 28566 42849 46782 59777 70173 85698 119554 140346 179331 210519 358662 421038 537993 1033783 1075986 1613979 2067566 3101349 3227958 4841937 6202698 9304047 9683874 18608094 23777009 27912141 47554018 55824282 71331027 83736423 116817479 142662054 167472846 213993081 233634958 350452437 427986162 546871207 641979243 700904874 1051357311 1093742414 1283958486 1640613621 1925937729 2102714622 2686802017 3154071933 3281227242 3851875458 4921840863 5373604034 6308143866 8060406051 9462215799 9843681726 14765522589 16120812102 18924431598 24181218153 29531045178 44296567767 48362436306 61796446391 72543654459 88593135534 123592892782 145087308918 185389339173 217630963377 370778678346 435261926754 556168017519 1112336035038 1668504052557 3337008105114 5005512157671 10011024315342