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130211100 = 223252149971
BaseRepresentation
bin1111100001011…
…01110100011100
3100002000102001100
413300231310130
5231313223400
620530513100
73140530125
oct760556434
9302012040
10130211100
1167556588
1237735790
1320c908b6
141341704c
15b671100
hex7c2dd1c

130211100 has 108 divisors (see below), whose sum is σ = 411301800. Its totient is φ = 34454400.

The previous prime is 130211093. The next prime is 130211101. The reversal of 130211100 is 1112031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130211101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133615 + ... + 134585.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2130211100 is an apocalyptic number.

130211100 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 130211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205650900).

130211100 is an abundant number, since it is smaller than the sum of its proper divisors (281090700).

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

130211100 is a wasteful number, since it uses less digits than its factorization.

130211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 130211100 is about 11411.0078433064. The cubic root of 130211100 is about 506.8537561231.

Adding to 130211100 its reverse (1112031), we get a palindrome (131323131).

The spelling of 130211100 in words is "one hundred thirty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 180 225 298 300 447 450 596 745 894 900 971 1341 1490 1788 1942 2235 2682 2913 2980 3725 3884 4470 4855 5364 5826 6705 7450 8739 8940 9710 11175 11652 13410 14565 14900 17478 19420 22350 24275 26820 29130 33525 34956 43695 44700 48550 58260 67050 72825 87390 97100 134100 144679 145650 174780 218475 289358 291300 434037 436950 578716 723395 868074 873900 1302111 1446790 1736148 2170185 2604222 2893580 3616975 4340370 5208444 6510555 7233950 8680740 10850925 13021110 14467900 21701850 26042220 32552775 43403700 65105550 130211100