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213211023013032 = 233114373257284967
BaseRepresentation
bin110000011110101000001111…
…010010011111010010101000
31000221220202220210011100112020
4300132220033102133102220
5210421222133342404112
62033243443005344440
762623662624154362
oct6036501722372250
91027822823140466
10213211023013032
1161a32318100070
121bab5884268120
1391c7936b8a785
143a9167baabd32
15199b19478348c
hexc1ea0f49f4a8

213211023013032 has 128 divisors (see below), whose sum is σ = 603158296181760. Its totient is φ = 62242378974720.

The previous prime is 213211023012997. The next prime is 213211023013129. The reversal of 213211023013032 is 230310320112312.

It is a super-2 number, since 2×2132110230130322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213211023012993 and 213211023013011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127813788 + ... + 129471179.

It is an arithmetic number, because the mean of its divisors is an integer number (4712174188920).

Almost surely, 2213211023013032 is an apocalyptic number.

213211023013032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213211023013032 is an abundant number, since it is smaller than the sum of its proper divisors (389947273168728).

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

213211023013032 is a wasteful number, since it uses less digits than its factorization.

213211023013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257285103 (or 257285099 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213211023013032 its reverse (230310320112312), we get a palindrome (443521343125344).

The spelling of 213211023013032 in words is "two hundred thirteen trillion, two hundred eleven billion, twenty-three million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 73 86 88 129 132 146 172 219 258 264 292 344 438 473 516 584 803 876 946 1032 1419 1606 1752 1892 2409 2838 3139 3212 3784 4818 5676 6278 6424 9417 9636 11352 12556 18834 19272 25112 34529 37668 69058 75336 103587 138116 207174 276232 414348 828696 257284967 514569934 771854901 1029139868 1543709802 2058279736 2830134637 3087419604 5660269274 6174839208 8490403911 11063253581 11320538548 16980807822 18781802591 22126507162 22641077096 33189760743 33961615644 37563605182 44253014324 56345407773 66379521486 67923231288 75127210364 88506028648 112690815546 121695789391 132759042972 150254420728 206599828501 225381631092 243391578782 265518085944 365087368173 413199657002 450763262184 486783157564 619799485503 730174736346 807617511413 826399314004 973566315128 1239598971006 1460349472692 1615235022826 1652798628008 2422852534239 2479197942012 2920698945384 3230470045652 4845705068478 4958395884024 6460940091304 8883792625543 9691410136956 17767585251086 19382820273912 26651377876629 35535170502172 53302755753258 71070341004344 106605511506516 213211023013032