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131210201100 = 2235211166323909
BaseRepresentation
bin111101000110010111…
…1001100100000001100
3110112200021010211102210
41322030233030200030
54122204302413400
6140135505550420
712323340210306
oct1721457144014
9415607124383
10131210201100
1150711813130
122151a045410
13c4b082b264
1464ca0d2976
15362e216950
hex1e8cbcc80c

131210201100 has 144 divisors (see below), whose sum is σ = 414413475840. Its totient is φ = 31788076800.

The previous prime is 131210201081. The next prime is 131210201113. The reversal of 131210201100 is 1102012131.

It is a super-2 number, since 2×1312102011002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5475946 + ... + 5499854.

It is an arithmetic number, because the mean of its divisors is an integer number (2877871360).

Almost surely, 2131210201100 is an apocalyptic number.

131210201100 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 131210201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207206737920).

131210201100 is an abundant number, since it is smaller than the sum of its proper divisors (283203274740).

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

131210201100 is a wasteful number, since it uses less digits than its factorization.

131210201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25600 (or 25593 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131210201100 its reverse (1102012131), we get a palindrome (132312213231).

The spelling of 131210201100 in words is "one hundred thirty-one billion, two hundred ten million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1663 3300 3326 4989 6652 8315 9978 16630 18293 19956 23909 24945 33260 36586 41575 47818 49890 54879 71727 73172 83150 91465 95636 99780 109758 119545 124725 143454 166300 182930 219516 239090 249450 262999 274395 286908 358635 365860 457325 478180 498900 525998 548790 597725 717270 788997 914650 1051996 1097580 1195450 1314995 1371975 1434540 1577994 1793175 1829300 2390900 2629990 2743950 3155988 3586350 3944985 5259980 5487900 6574975 7172700 7889970 13149950 15779940 19724925 26299900 39449850 39760667 78899700 79521334 119282001 159042668 198803335 238564002 397606670 437367337 477128004 596410005 795213340 874734674 994016675 1192820010 1312102011 1749469348 1988033350 2186836685 2385640020 2624204022 2982050025 3976066700 4373673370 5248408044 5964100050 6560510055 8747346740 10934183425 11928200100 13121020110 21868366850 26242040220 32802550275 43736733700 65605100550 131210201100