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10341120042 = 2331124673389
BaseRepresentation
bin10011010000110000…
…01111100000101010
3222200200122022212000
421220120033200222
5132134311320132
64430050031430
7514156033011
oct115030174052
928620568760
1010341120042
114427324600
122007278576
13c8a584856
1470159ba78
15407ce087c
hex26860f82a

10341120042 has 96 divisors (see below), whose sum is σ = 25320859200. Its totient is φ = 3126039840.

The previous prime is 10341120019. The next prime is 10341120073. The reversal of 10341120042 is 24002114301.

10341120042 is a `hidden beast` number, since 10 + 3 + 411 + 200 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10341119997 and 10341120024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3049684 + ... + 3053072.

It is an arithmetic number, because the mean of its divisors is an integer number (263758950).

Almost surely, 210341120042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10341120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660429600).

10341120042 is an abundant number, since it is smaller than the sum of its proper divisors (14979739158).

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

10341120042 is a wasteful number, since it uses less digits than its factorization.

10341120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10341120042 its reverse (24002114301), we get a palindrome (34343234343).

The spelling of 10341120042 in words is "ten billion, three hundred forty-one million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 467 594 726 934 1089 1401 2178 2802 3267 3389 4203 5137 6534 6778 8406 10167 10274 12609 15411 20334 25218 30501 30822 37279 46233 56507 61002 74558 91503 92466 111837 113014 138699 169521 183006 223674 277398 335511 339042 410069 508563 671022 820138 1006533 1017126 1230207 1525689 1582663 2013066 2460414 3051378 3165326 3690621 4747989 7381242 9495978 11071863 14243967 17409293 22143726 28487934 34818586 42731901 52227879 85463802 104455758 156683637 191502223 313367274 383004446 470050911 574506669 940101822 1149013338 1723520007 3447040014 5170560021 10341120042