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211331201004 = 2232711471622081
BaseRepresentation
bin1100010011010001010…
…0100011011111101100
3202012111000221100002200
43010310110203133230
511430301241413004
6241030105021500
721160661366310
oct3046424433754
9665430840080
10211331201004
1181696a54230
1234b5a484890
1316c0ba4a141
14a32ad67b40
15576d137239
hex31345237ec

211331201004 has 144 divisors (see below), whose sum is σ = 680184400896. Its totient is φ = 53723289600.

The previous prime is 211331200979. The next prime is 211331201021. The reversal of 211331201004 is 400102133112.

211331201004 is a `hidden beast` number, since 211 + 331 + 20 + 100 + 4 = 666.

211331201004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 680757 + ... + 941324.

It is an arithmetic number, because the mean of its divisors is an integer number (4723502784).

Almost surely, 2211331201004 is an apocalyptic number.

It is an amenable number.

211331201004 is an abundant number, since it is smaller than the sum of its proper divisors (468853199892).

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

211331201004 is a wasteful number, since it uses less digits than its factorization.

211331201004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622156 (or 1622151 counting only the distinct ones).

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

Adding to 211331201004 its reverse (400102133112), we get a palindrome (611433334116).

The spelling of 211331201004 in words is "two hundred eleven billion, three hundred thirty-one million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 47 63 66 77 84 94 99 126 132 141 154 188 198 231 252 282 308 329 396 423 462 517 564 658 693 846 924 987 1034 1316 1386 1551 1692 1974 2068 2772 2961 3102 3619 3948 4653 5922 6204 7238 9306 10857 11844 14476 18612 21714 32571 43428 65142 130284 1622081 3244162 4866243 6488324 9732486 11354567 14598729 17842891 19464972 22709134 29197458 34063701 35685782 45418268 53528673 58394916 68127402 71371564 76237807 102191103 107057346 124900237 136254804 152475614 160586019 204382206 214114692 228713421 249800474 304951228 321172038 374700711 408764412 457426842 499600948 533664649 642344076 686140263 749401422 838615877 914853684 1067329298 1124102133 1372280526 1498802844 1600993947 1677231754 2134658596 2248204266 2515847631 2744561052 3201987894 3354463508 4496408532 4802981841 5031695262 5870311139 6403975788 7547542893 9605963682 10063390524 11740622278 15095085786 17610933417 19211927364 23481244556 30190171572 35221866834 52832800251 70443733668 105665600502 211331201004