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131000213100 = 223523711801821
BaseRepresentation
bin111101000000000111…
…0001001111001101100
3110112010122000100001110
41322000032021321230
54121242023304400
6140103005112020
712315210303351
oct1720016117154
9415118010043
10131000213100
1150614229029
122147b858610
13c4791879c3
1464aa270628
15361aa87e50
hex1e80389e6c

131000213100 has 72 divisors (see below), whose sum is σ = 389271296848. Its totient is φ = 33989241600.

The previous prime is 131000213041. The next prime is 131000213101. The reversal of 131000213100 is 1312000131.

It is a super-2 number, since 2×1310002131002 (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 not an unprimeable number, because it can be changed into a prime (131000213101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5889811 + ... + 5912010.

Almost surely, 2131000213100 is an apocalyptic number.

131000213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000213100 is an abundant number, since it is smaller than the sum of its proper divisors (258271083748).

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

131000213100 is a wasteful number, since it uses less digits than its factorization.

131000213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11801875 (or 11801868 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131000213100 its reverse (1312000131), we get a palindrome (132312213231).

The spelling of 131000213100 in words is "one hundred thirty-one billion, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 11801821 23603642 35405463 47207284 59009105 70810926 118018210 141621852 177027315 236036420 295045525 354054630 436667377 590091050 708109260 873334754 885136575 1180182100 1310002131 1746669508 1770273150 2183336885 2620004262 3540546300 4366673770 5240008524 6550010655 8733347540 10916684425 13100021310 21833368850 26200042620 32750053275 43666737700 65500106550 131000213100