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101211032300 = 225271319191201
BaseRepresentation
bin101111001000010100…
…1011100101011101100
3100200020120102011020212
41132100221130223230
53124240011013200
6114255023401552
710212050402630
oct1362051345354
9320216364225
10101211032300
1139a17a97644
12177474532b8
13970c6975c1
144c81c22dc0
152975704035
hex1790a5caec

101211032300 has 144 divisors (see below), whose sum is σ = 253405447680. Its totient is φ = 34369920000.

The previous prime is 101211032269. The next prime is 101211032323. The reversal of 101211032300 is 3230112101.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 84271700 + ... + 84272900.

Almost surely, 2101211032300 is an apocalyptic number.

101211032300 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 101211032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126702723840).

101211032300 is an abundant number, since it is smaller than the sum of its proper divisors (152194415380).

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

101211032300 is a wasteful number, since it uses less digits than its factorization.

101211032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2265 counting only the distinct ones).

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

Adding to 101211032300 its reverse (3230112101), we get a palindrome (104441144401).

The spelling of 101211032300 in words is "one hundred one billion, two hundred eleven million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 262 350 524 655 700 917 919 1201 1310 1834 1838 2402 2620 3275 3668 3676 4585 4595 4804 6005 6433 6550 8407 9170 9190 12010 12866 13100 16814 18340 18380 22925 22975 24020 25732 30025 32165 33628 42035 45850 45950 60050 64330 84070 91700 91900 120100 120389 128660 157331 160825 168140 210175 240778 314662 321650 420350 481556 601945 629324 643300 786655 840700 842723 1101317 1103719 1203890 1573310 1685446 2202634 2207438 2407780 3009725 3146620 3370892 3933275 4213615 4405268 4414876 5506585 5518595 6019450 7726033 7866550 8427230 11013170 11037190 12038900 15452066 15733100 16854460 21068075 22026340 22074380 27532925 27592975 30904132 38630165 42136150 55065850 55185950 77260330 84272300 110131700 110371900 144587189 154520660 193150825 289174378 386301650 578348756 722935945 772603300 1012110323 1445871890 2024220646 2891743780 3614679725 4048441292 5060551615 7229359450 10121103230 14458718900 20242206460 25302758075 50605516150 101211032300