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10001310332442 = 23111391611272409
BaseRepresentation
bin1001000110001001110010…
…0011001011011000011010
31022102010010111212001000120
42101202130203023120122
52302330140421114232
633134312154014110
72051366536110432
oct221423443133032
938363114761016
1010001310332442
113206593a491a0
1211563a2717336
13577172770470
142680cd17d2c2
15125254ec492c
hex9189c8cb61a

10001310332442 has 64 divisors (see below), whose sum is σ = 23502165966720. Its totient is φ = 2797261747200.

The previous prime is 10001310332399. The next prime is 10001310332513. The reversal of 10001310332442 is 24423301310001.

It is a happy number.

It is a super-2 number, since 2×100013103324422 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7223934 + ... + 8496342.

It is an arithmetic number, because the mean of its divisors is an integer number (367221343230).

Almost surely, 210001310332442 is an apocalyptic number.

10001310332442 is an abundant number, since it is smaller than the sum of its proper divisors (13500855634278).

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

10001310332442 is a wasteful number, since it uses less digits than its factorization.

10001310332442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281599.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10001310332442 its reverse (24423301310001), we get a palindrome (34424611642443).

The spelling of 10001310332442 in words is "ten trillion, one billion, three hundred ten million, three hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 9161 18322 27483 54966 100771 119093 201542 238186 302313 357279 604626 714558 1272409 1310023 2544818 2620046 3817227 3930069 7634454 7860138 13996499 16541317 27992998 33082634 41989497 49623951 83978994 99247902 181954487 363908974 545863461 1091726922 11656538849 23313077698 34969616547 69939233094 128221927339 151535005037 256443854678 303070010074 384665782017 454605015111 769331564034 909210030222 1666885055407 3333770110814 5000655166221 10001310332442