Search a number
-
+
1032130101200 = 245211367639169
BaseRepresentation
bin11110000010011111011…
…11110111111111010000
310122200002220212200101012
433001033233313333100
5113402300301214300
62110053134030052
7134366101051322
oct17011757677720
93580086780335
101032130101200
113687a6597540
1214804a348328
1376438a5a843
1437d53735612
151bcac3a1435
hexf04fbf7fd0

1032130101200 has 120 divisors (see below), whose sum is σ = 2712494305920. Its totient is φ = 374296780800.

The previous prime is 1032130101199. The next prime is 1032130101203. The reversal of 1032130101200 is 21010312301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032130101203) 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, 1295216 + ... + 1934384.

It is an arithmetic number, because the mean of its divisors is an integer number (22604119216).

Almost surely, 21032130101200 is an apocalyptic number.

1032130101200 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 1032130101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356247152960).

1032130101200 is an abundant number, since it is smaller than the sum of its proper divisors (1680364204720).

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

1032130101200 is a wasteful number, since it uses less digits than its factorization.

1032130101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639565 (or 639554 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1032130101200 its reverse (21010312301), we get a palindrome (1053140413501).

The spelling of 1032130101200 in words is "one trillion, thirty-two billion, one hundred thirty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 367 400 440 550 734 880 1100 1468 1835 2200 2936 3670 4037 4400 5872 7340 8074 9175 14680 16148 18350 20185 29360 32296 36700 40370 64592 73400 80740 100925 146800 161480 201850 322960 403700 639169 807400 1278338 1614800 2556676 3195845 5113352 6391690 7030859 10226704 12783380 14061718 15979225 25566760 28123436 31958450 35154295 51133520 56246872 63916900 70308590 112493744 127833800 140617180 175771475 234575023 255667600 281234360 351542950 469150046 562468720 703085900 938300092 1172875115 1406171800 1876600184 2345750230 2580325253 2812343600 3753200368 4691500460 5160650506 5864375575 9383000920 10321301012 11728751150 12901626265 18766001840 20642602024 23457502300 25803252530 41285204048 46915004600 51606505060 64508131325 93830009200 103213010120 129016262650 206426020240 258032525300 516065050600 1032130101200