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212141131000 = 23531440114731
BaseRepresentation
bin1100010110010010011…
…0001100010011111000
3202021120110222001011221
43011210212030103320
511433431112143000
6241242320401424
721220024601251
oct3054446142370
9667513861157
10212141131000
1181a72157667
1235145776274
131700a798a66
14a3a6759b28
1557b92c161a
hex316498c4f8

212141131000 has 64 divisors (see below), whose sum is σ = 496478417760. Its totient is φ = 84844800000.

The previous prime is 212141130989. The next prime is 212141131031. The reversal of 212141131000 is 131141212.

It is a super-2 number, since 2×2121411310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14393635 + ... + 14408365.

Almost surely, 2212141131000 is an apocalyptic number.

212141131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212141131000 is an abundant number, since it is smaller than the sum of its proper divisors (284337286760).

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

212141131000 is a wasteful number, since it uses less digits than its factorization.

212141131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29153 (or 29139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 212141131000 its reverse (131141212), we get a palindrome (212272272212).

The spelling of 212141131000 in words is "two hundred twelve billion, one hundred forty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 14401 14731 28802 29462 57604 58924 72005 73655 115208 117848 144010 147310 288020 294620 360025 368275 576040 589240 720050 736550 1440100 1473100 1800125 1841375 2880200 2946200 3600250 3682750 7200500 7365500 14401000 14731000 212141131 424282262 848564524 1060705655 1697129048 2121411310 4242822620 5303528275 8485645240 10607056550 21214113100 26517641375 42428226200 53035282750 106070565500 212141131000