Search a number
-
+
103132212002130 = 23541831010208757
BaseRepresentation
bin10111011100110001010110…
…110111000111110101010010
3111112011100021011210101211110
4113130301112313013311102
5102004204232233032010
61003202141212154150
730503025232651443
oct2734612667076522
9445140234711743
10103132212002130
112a952142029a13
12b697869168956
134571430bc1c6c
141b678a8c972ca
15bdca8b165120
hex5dcc56dc7d52

103132212002130 has 64 divisors (see below), whose sum is σ = 256609187872128. Its totient is φ = 26507877757440.

The previous prime is 103132212002093. The next prime is 103132212002177. The reversal of 103132212002130 is 31200212231301.

It is a junction number, because it is equal to n+sod(n) for n = 103132212002097 and 103132212002106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505002289 + ... + 505206468.

It is an arithmetic number, because the mean of its divisors is an integer number (4009518560502).

Almost surely, 2103132212002130 is an apocalyptic number.

103132212002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103132212002130 is an abundant number, since it is smaller than the sum of its proper divisors (153476975869998).

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

103132212002130 is a wasteful number, since it uses less digits than its factorization.

103132212002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010208891.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103132212002130 its reverse (31200212231301), we get a palindrome (134332424233431).

The spelling of 103132212002130 in words is "one hundred three trillion, one hundred thirty-two billion, two hundred twelve million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 123 166 205 246 249 410 415 498 615 830 1230 1245 2490 3403 6806 10209 17015 20418 34030 51045 102090 1010208757 2020417514 3030626271 5051043785 6061252542 10102087570 15153131355 30306262710 41418559037 82837118074 83847326831 124255677111 167694653662 207092795185 248511354222 251541980493 414185590370 419236634155 503083960986 621278385555 838473268310 1242556771110 1257709902465 2515419804930 3437740400071 6875480800142 10313221200213 17188702000355 20626442400426 34377404000710 51566106001065 103132212002130