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10024401101 = 1113172435641
BaseRepresentation
bin10010101011000000…
…00011100011001101
3221212121200100010212
421111200003203031
5131012221313401
64334413412205
7503262001121
oct112540034315
927777610125
1010024401101
114284570a10
121b3919a065
13c39a81bb0
146b14b5581
153da0ccdbb
hex2558038cd

10024401101 has 48 divisors (see below), whose sum is σ = 12803638848. Its totient is φ = 7731763200.

The previous prime is 10024401031. The next prime is 10024401113. The reversal of 10024401101 is 10110442001.

It is a de Polignac number, because none of the positive numbers 2k-10024401101 is a prime.

It is a super-3 number, since 3×100244011013 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024401131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774241 + ... + 1779881.

It is an arithmetic number, because the mean of its divisors is an integer number (266742476).

Almost surely, 210024401101 is an apocalyptic number.

10024401101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10024401101 is a deficient number, since it is larger than the sum of its proper divisors (2779237747).

10024401101 is a wasteful number, since it uses less digits than its factorization.

10024401101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10024401101 its reverse (10110442001), we get a palindrome (20134843102).

The spelling of 10024401101 in words is "ten billion, twenty-four million, four hundred one thousand, one hundred one".

Divisors: 1 11 13 17 43 143 187 221 289 473 559 731 2431 3179 3757 5641 6149 8041 9503 12427 41327 62051 73333 95897 104533 136697 161551 242563 806663 1054867 1246661 1630249 1777061 2668193 3153319 4123571 13713271 17932739 21193237 34686509 45359281 53606423 70100707 233125607 589670653 771107777 911309191 10024401101