Search a number
-
+
113000120010 = 2355163285289
BaseRepresentation
bin110100100111101010…
…1001111111011001010
3101210200011122212100000
41221033111033323022
53322411012320020
6123524520423430
711110151113011
oct1511725177312
9353604585300
10113000120010
1143a17692738
1219a97617b76
13a86ac23c4b
14567d81ba78
152e156b2090
hex1a4f54feca

113000120010 has 96 divisors (see below), whose sum is σ = 306552093120. Its totient is φ = 29948393088.

The previous prime is 113000119997. The next prime is 113000120017. The reversal of 113000120010 is 10021000311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113000119974 and 113000120001.

It is not an unprimeable number, because it can be changed into a prime (113000120017) 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, 253446 + ... + 538734.

It is an arithmetic number, because the mean of its divisors is an integer number (3193250970).

Almost surely, 2113000120010 is an apocalyptic number.

113000120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113000120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153276046560).

113000120010 is an abundant number, since it is smaller than the sum of its proper divisors (193551973110).

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

113000120010 is a wasteful number, since it uses less digits than its factorization.

113000120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285474 (or 285462 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 113000120010 its reverse (10021000311), we get a palindrome (123021120321).

The spelling of 113000120010 in words is "one hundred thirteen billion, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 243 270 326 405 486 489 810 815 978 1215 1467 1630 2430 2445 2934 4401 4890 7335 8802 13203 14670 22005 26406 39609 44010 66015 79218 132030 198045 285289 396090 570578 855867 1426445 1711734 2567601 2852890 4279335 5135202 7702803 8558670 12838005 15405606 23108409 25676010 38514015 46216818 46502107 69325227 77028030 93004214 115542045 138650454 139506321 231084090 232510535 279012642 346626135 418518963 465021070 693252270 697531605 837037926 1255556889 1395063210 2092594815 2511113778 3766670667 4185189630 6277784445 7533341334 11300012001 12555568890 18833353335 22600024002 37666706670 56500060005 113000120010