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10000011042 = 2327214397879
BaseRepresentation
bin10010101000000110…
…00000111100100010
3221210220210012021100
421110003000330202
5130440000323132
64332142535230
7502544456100
oct112403007442
927726705240
1010000011042
11427182233a
121b30b97516
13c349c24c8
146ac166c70
153d7db137c
hex2540c0f22

10000011042 has 72 divisors (see below), whose sum is σ = 25224825600. Its totient is φ = 2854798128.

The previous prime is 10000011037. The next prime is 10000011061. The reversal of 10000011042 is 24011000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265259 + ... + 1273137.

It is an arithmetic number, because the mean of its divisors is an integer number (350344800).

Almost surely, 210000011042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000011042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612412800).

10000011042 is an abundant number, since it is smaller than the sum of its proper divisors (15224814558).

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

10000011042 is a wasteful number, since it uses less digits than its factorization.

10000011042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000011042 its reverse (24011000001), we get a palindrome (34011011043).

The spelling of 10000011042 in words is "ten billion, eleven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1439 2878 4317 7879 8634 10073 12951 15758 20146 23637 25902 30219 47274 55153 60438 70511 70911 90657 110306 141022 141822 165459 181314 211533 330918 386071 423066 496377 634599 772142 992754 1158213 1269198 2316426 3474639 6949278 11337881 22675762 34013643 68027286 79365167 102040929 158730334 204081858 238095501 476191002 555556169 714286503 1111112338 1428573006 1666668507 3333337014 5000005521 10000011042