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100330211300 = 225211223360511
BaseRepresentation
bin101110101110000100…
…1011000011111100100
3100120222011222210222212
41131130021120133210
53120434013230200
6114031400342552
710151163503444
oct1353411303744
9316864883885
10100330211300
1139605874800
1217540474a58
1395cc057747
144bdac5a124
152923215035
hex175c2587e4

100330211300 has 108 divisors (see below), whose sum is σ = 249713683968. Its totient is φ = 34897368000.

The previous prime is 100330211297. The next prime is 100330211357. The reversal of 100330211300 is 3112033001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98045 + ... + 458555.

Almost surely, 2100330211300 is an apocalyptic number.

100330211300 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 100330211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124856841984).

100330211300 is an abundant number, since it is smaller than the sum of its proper divisors (149383472668).

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

100330211300 is a wasteful number, since it uses less digits than its factorization.

100330211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360570 (or 360552 counting only the distinct ones).

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

Adding to 100330211300 its reverse (3112033001), we get a palindrome (103442244301).

The spelling of 100330211300 in words is "one hundred billion, three hundred thirty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 220 230 242 253 275 460 484 506 550 575 605 1012 1100 1150 1210 1265 2300 2420 2530 2783 3025 5060 5566 6050 6325 11132 12100 12650 13915 25300 27830 55660 69575 139150 278300 360511 721022 1442044 1802555 3605110 3965621 7210220 7931242 8291753 9012775 15862484 16583506 18025550 19828105 33167012 36051100 39656210 41458765 43621831 79312420 82917530 87243662 91209283 99140525 165835060 174487324 182418566 198281050 207293825 218109155 364837132 396562100 414587650 436218310 456046415 829175300 872436620 912092830 1003302113 1090545775 1824185660 2006604226 2181091550 2280232075 4013208452 4362183100 4560464150 5016510565 9120928300 10033021130 20066042260 25082552825 50165105650 100330211300