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10493037043100 = 2252472689830257
BaseRepresentation
bin1001100010110001100110…
…1111101101110110011100
31101011010100210102002212022
42120230121233231312130
52333404214440334400
634152233515555312
72132045145146033
oct230543157556634
941133323362768
1010493037043100
113386087948987
121215754a5bb38
135b1648870051
14283c196b971a
15132e34627b85
hex98b19bedd9c

10493037043100 has 72 divisors (see below), whose sum is σ = 23263032112320. Its totient is φ = 4106379755520.

The previous prime is 10493037043061. The next prime is 10493037043109. The reversal of 10493037043100 is 134073039401.

It is a super-2 number, since 2×104930370431002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10493037043109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12223172 + ... + 13053428.

Almost surely, 210493037043100 is an apocalyptic number.

10493037043100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10493037043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631516056160).

10493037043100 is an abundant number, since it is smaller than the sum of its proper divisors (12769995069220).

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

10493037043100 is a wasteful number, since it uses less digits than its factorization.

10493037043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833007 (or 833000 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 10493037043100 in words is "ten trillion, four hundred ninety-three billion, thirty-seven million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2689 4700 5378 10756 13445 26890 53780 67225 126383 134450 252766 268900 505532 631915 830257 1263830 1660514 2527660 3159575 3321028 4151285 6319150 8302570 12638300 16605140 20756425 39022079 41512850 78044158 83025700 156088316 195110395 390220790 780441580 975551975 1951103950 2232561073 3902207900 4465122146 8930244292 11162805365 22325610730 44651221460 55814026825 104930370431 111628053650 209860740862 223256107300 419721481724 524651852155 1049303704310 2098607408620 2623259260775 5246518521550 10493037043100