Search a number
-
+
103232011032 = 23343122922441
BaseRepresentation
bin110000000100100011…
…0110111101100011000
3100212110102020111220000
41200021012313230120
53142404343323112
6115231340133000
710313120421123
oct1401106675430
9325412214800
10103232011032
113a8648628a7
1218010237160
1399722a86c7
144dd43bd3ba
152a42d5c7dc
hex18091b7b18

103232011032 has 160 divisors (see below), whose sum is σ = 299789212800. Its totient is φ = 33153753600.

The previous prime is 103232011031. The next prime is 103232011067. The reversal of 103232011032 is 230110232301.

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 = 103232010996 and 103232011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232011031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4588932 + ... + 4611372.

It is an arithmetic number, because the mean of its divisors is an integer number (1873682580).

Almost surely, 2103232011032 is an apocalyptic number.

103232011032 is a gapful number since it is divisible by the number (12) 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 103232011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149894606400).

103232011032 is an abundant number, since it is smaller than the sum of its proper divisors (196557201768).

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

103232011032 is a wasteful number, since it uses less digits than its factorization.

103232011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22719 (or 22706 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103232011032 its reverse (230110232301), we get a palindrome (333342243333).

The spelling of 103232011032 in words is "one hundred three billion, two hundred thirty-two million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 229 248 279 324 372 458 558 648 687 744 837 916 1116 1374 1674 1832 2061 2232 2511 2748 3348 4122 5022 5496 6183 6696 7099 8244 10044 12366 14198 16488 18549 20088 21297 22441 24732 28396 37098 42594 44882 49464 56792 63891 67323 74196 85188 89764 127782 134646 148392 170376 179528 191673 201969 255564 269292 383346 403938 511128 538584 575019 605907 695671 766692 807876 1150038 1211814 1391342 1533384 1615752 1817721 2087013 2300076 2423628 2782684 3635442 4174026 4600152 4847256 5138989 5565368 6261039 7270884 8348052 10277978 12522078 14541768 15416967 16696104 18783117 20555956 25044156 30833934 37566234 41111912 46250901 50088312 56349351 61667868 75132468 92501802 112698702 123335736 138752703 150264936 159308659 185003604 225397404 277505406 318617318 370007208 416258109 450794808 477925977 555010812 637234636 832516218 955851954 1110021624 1274469272 1433777931 1665032436 1911703908 2867555862 3330064872 3823407816 4301333793 5735111724 8602667586 11470223448 12904001379 17205335172 25808002758 34410670344 51616005516 103232011032