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211330123002 = 232173137602111
BaseRepresentation
bin1100010011010001000…
…0011100010011111010
3202012110221220120100200
43010310100130103322
511430301002414002
6241030025543030
721160646256405
oct3046420342372
9665427816320
10211330123002
1181696388319
1234b5a044a76
1316c0b76057b
14a32ab66d3c
15576cec2b1c
hex313441c4fa

211330123002 has 96 divisors (see below), whose sum is σ = 513982070784. Its totient is φ = 62426764800.

The previous prime is 211330122947. The next prime is 211330123003. The reversal of 211330123002 is 200321033112.

211330123002 is a `hidden beast` number, since 21 + 1 + 330 + 12 + 300 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (211330123003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49927 + ... + 652037.

It is an arithmetic number, because the mean of its divisors is an integer number (5353979904).

Almost surely, 2211330123002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211330123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256991035392).

211330123002 is an abundant number, since it is smaller than the sum of its proper divisors (302651947782).

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

211330123002 is a wasteful number, since it uses less digits than its factorization.

211330123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602204 (or 602201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211330123002 its reverse (200321033112), we get a palindrome (411651156114).

The spelling of 211330123002 in words is "two hundred eleven billion, three hundred thirty million, one hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 17 18 31 34 37 51 62 74 93 102 111 153 186 222 279 306 333 527 558 629 666 1054 1147 1258 1581 1887 2294 3162 3441 3774 4743 5661 6882 9486 10323 11322 19499 20646 38998 58497 116994 175491 350982 602111 1204222 1806333 3612666 5418999 10235887 10837998 18665441 20471774 22278107 30707661 37330882 44556214 55996323 61415322 66834321 92122983 111992646 133668642 167988969 184245966 200502963 317312497 335977938 378727819 401005926 634624994 690621317 757455638 951937491 1136183457 1381242634 1903874982 2071863951 2272366914 2855812473 3408550371 4143727902 5711624946 6215591853 6817100742 11740562389 12431183706 23481124778 35221687167 70443374334 105665061501 211330123002