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212032121130 = 232514928355871
BaseRepresentation
bin1100010101111000011…
…0010110100100101010
3202021021212211202202100
43011132012112210222
511433220210334010
6241223424114230
721214232202234
oct3053606264452
9667255752670
10212032121130
1181a16671965
1235115165976
1316cc101c28b
14a3960a1254
1557ae93c2c0
hex315e19692a

212032121130 has 96 divisors (see below), whose sum is σ = 556954444800. Its totient is φ = 55962967680.

The previous prime is 212032121107. The next prime is 212032121143. The reversal of 212032121130 is 31121230212.

212032121130 is a `hidden beast` number, since 212 + 0 + 321 + 2 + 1 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3767095 + ... + 3822965.

It is an arithmetic number, because the mean of its divisors is an integer number (5801608800).

Almost surely, 2212032121130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212032121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278477222400).

212032121130 is an abundant number, since it is smaller than the sum of its proper divisors (344922323670).

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

212032121130 is a wasteful number, since it uses less digits than its factorization.

212032121130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56316 (or 56313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212032121130 its reverse (31121230212), we get a palindrome (243153351342).

The spelling of 212032121130 in words is "two hundred twelve billion, thirty-two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 283 298 447 566 745 849 894 1341 1415 1490 1698 2235 2547 2682 2830 4245 4470 5094 6705 8490 12735 13410 25470 42167 55871 84334 111742 126501 167613 210835 253002 279355 335226 379503 421670 502839 558710 632505 759006 838065 1005678 1265010 1676130 1897515 2514195 3795030 5028390 8324779 15811493 16649558 24974337 31622986 41623895 47434479 49948674 74923011 79057465 83247790 94868958 124871685 142303437 149846022 158114930 237172395 249743370 284606874 374615055 474344790 711517185 749230110 1423034370 2355912457 4711824914 7067737371 11779562285 14135474742 21203212113 23559124570 35338686855 42406424226 70677373710 106016060565 212032121130