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1002130310442 = 2312717341918143
BaseRepresentation
bin11101001010100111001…
…11110000010100101010
310112210200011222102000210
432211103213300110222
5112404330324413232
62044212230241550
7132254503043442
oct16452347602452
93483604872023
101002130310442
11357001486738
121422774b62b6
1373667739a71
1436709343122
151b1037b95cc
hexe9539f052a

1002130310442 has 64 divisors (see below), whose sum is σ = 2036679966720. Its totient is φ = 328692982464.

The previous prime is 1002130310387. The next prime is 1002130310443. The reversal of 1002130310442 is 2440130312001.

1002130310442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1002130310443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55226023 + ... + 55244165.

It is an arithmetic number, because the mean of its divisors is an integer number (31823124480).

Almost surely, 21002130310442 is an apocalyptic number.

1002130310442 is an abundant number, since it is smaller than the sum of its proper divisors (1034549656278).

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

1002130310442 is a wasteful number, since it uses less digits than its factorization.

1002130310442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18867.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1002130310442 its reverse (2440130312001), we get a palindrome (3442260622443).

The spelling of 1002130310442 in words is "one trillion, two billion, one hundred thirty million, three hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 127 173 254 346 381 419 519 762 838 1038 1257 2514 18143 21971 36286 43942 53213 54429 65913 72487 106426 108858 131826 144974 159639 217461 319278 434922 2304161 3138739 4608322 6277478 6912483 7601917 9205849 9416217 13824966 15203834 18411698 18832434 22805751 27617547 45611502 55235094 398619853 797239706 965443459 1195859559 1315131641 1930886918 2391719118 2630263282 2896330377 3945394923 5792660754 7890789846 167021718407 334043436814 501065155221 1002130310442