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211132132003020 = 223518124737861409
BaseRepresentation
bin110000000000011000000111…
…101110101000110011001100
31000200120000221021221221211110
4300000120013232220303030
5210133142101243044040
62025012432404252020
762320536024142554
oct6000300756506314
91020500837857743
10211132132003020
11613006a8348858
121b81a9a39a1010
1390a68a019c1b7
143a1cbc7882164
151962070846980
hexc00607ba8ccc

211132132003020 has 96 divisors (see below), whose sum is σ = 594676548123840. Its totient is φ = 55968193658880.

The previous prime is 211132132002973. The next prime is 211132132003087. The reversal of 211132132003020 is 20300231231112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22926076 + ... + 30787484.

It is an arithmetic number, because the mean of its divisors is an integer number (6194547376290).

Almost surely, 2211132132003020 is an apocalyptic number.

211132132003020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132132003020 is an abundant number, since it is smaller than the sum of its proper divisors (383544416120820).

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

211132132003020 is a wasteful number, since it uses less digits than its factorization.

211132132003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864075 (or 7864073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211132132003020 its reverse (20300231231112), we get a palindrome (231432363234132).

The spelling of 211132132003020 in words is "two hundred eleven trillion, one hundred thirty-two billion, one hundred thirty-two million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2473 2715 3620 4946 5430 7419 9892 10860 12365 14838 24730 29676 37095 49460 74190 148380 447613 895226 1342839 1790452 2238065 2685678 4476130 5371356 6714195 7861409 8952260 13428390 15722818 23584227 26856780 31445636 39307045 47168454 78614090 94336908 117921135 157228180 235842270 471684540 1422915029 2845830058 4268745087 5691660116 7114575145 8537490174 14229150290 17074980348 19441264457 21343725435 28458300580 38882528914 42687450870 58323793371 77765057828 85374901740 97206322285 116647586742 194412644570 233295173484 291618966855 388825289140 583237933710 1166475867420 3518868866717 7037737733434 10556606600151 14075475466868 17594344333585 21113213200302 35188688667170 42226426400604 52783033000755 70377377334340 105566066001510 211132132003020