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100132310300 = 2252111745711717
BaseRepresentation
bin101110101000001011…
…0011100110100011100
3100120110101121101212012
41131100112130310130
53120032332412200
6114000010530352
710143241410551
oct1352026346434
9316411541765
10100132310300
1139514095860
12174a61369b8
13959a056969
144bbc862a28
152910b72a35
hex175059cd1c

100132310300 has 144 divisors (see below), whose sum is σ = 251554711968. Its totient is φ = 34191974400.

The previous prime is 100132310293. The next prime is 100132310329. The reversal of 100132310300 is 3013231001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8540042 + ... + 8551758.

It is an arithmetic number, because the mean of its divisors is an integer number (1746907722).

Almost surely, 2100132310300 is an apocalyptic number.

100132310300 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 100132310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125777355984).

100132310300 is an abundant number, since it is smaller than the sum of its proper divisors (151422401668).

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

100132310300 is a wasteful number, since it uses less digits than its factorization.

100132310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100132310300 its reverse (3013231001), we get a palindrome (103145541301).

The spelling of 100132310300 in words is "one hundred billion, one hundred thirty-two million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 457 550 748 850 914 935 1100 1700 1828 1870 2285 3740 4570 4675 5027 7769 9140 9350 10054 11425 11717 15538 18700 20108 22850 23434 25135 31076 38845 45700 46868 50270 58585 77690 85459 100540 117170 125675 128887 155380 170918 194225 199189 234340 251350 257774 292925 341836 388450 398378 427295 502700 515548 585850 644435 776900 796756 854590 995945 1171700 1288870 1709180 1991890 2136475 2191079 2577740 3222175 3983780 4272950 4382158 4979725 5354669 6444350 8545900 8764316 9959450 10709338 10955395 12888700 19918900 21418676 21910790 26773345 43821580 53546690 54776975 58901359 91029373 107093380 109553950 117802718 133866725 182058746 219107900 235605436 267733450 294506795 364117492 455146865 535466900 589013590 910293730 1001323103 1178027180 1472533975 1820587460 2002646206 2275734325 2945067950 4005292412 4551468650 5006615515 5890135900 9102937300 10013231030 20026462060 25033077575 50066155150 100132310300