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10123442331342 = 2317419751315409
BaseRepresentation
bin1001001101010000110000…
…1011110001111011001110
31022211210101002202102012020
42103110030023301323032
52311330302214100332
633310351210351010
72063252224012164
oct223241413617316
938753332672166
1010123442331342
11325336730767a
121175ba842b466
1358583756a432
1426dd97701234
1512850221382c
hex9350c2f1ece

10123442331342 has 64 divisors (see below), whose sum is σ = 21517724390400. Its totient is φ = 3164173056000.

The previous prime is 10123442331337. The next prime is 10123442331347. The reversal of 10123442331342 is 24313324432101.

10123442331342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10123442331337) and next prime (10123442331347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123442331347) 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, 31938534 + ... + 32253942.

It is an arithmetic number, because the mean of its divisors is an integer number (336214443600).

Almost surely, 210123442331342 is an apocalyptic number.

10123442331342 is an abundant number, since it is smaller than the sum of its proper divisors (11394282059058).

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

10123442331342 is a wasteful number, since it uses less digits than its factorization.

10123442331342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316601.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 10123442331342 its reverse (24313324432101), we get a palindrome (34436766763443).

The spelling of 10123442331342 in words is "ten trillion, one hundred twenty-three billion, four hundred forty-two million, three hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 419 751 838 1257 1502 2253 2514 4506 7123 12767 14246 21369 25534 38301 42738 76602 314669 315409 629338 630818 944007 946227 1888014 1892454 5349373 5361953 10698746 10723906 16048119 16085859 32096238 32171718 132156371 236872159 264312742 396469113 473744318 710616477 792938226 1421232954 2246658307 4026826703 4493316614 6739974921 8053653406 12080480109 13479949842 24160960218 99249434621 198498869242 297748303863 595496607726 1687240388557 3374480777114 5061721165671 10123442331342