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211341402324 = 2232133133833767
BaseRepresentation
bin1100010011010011101…
…1011110000011010100
3202012111202010121200100
43010310323132003110
511430311344333244
6241031111414100
721161144164623
oct3046473360324
9665452117610
10211341402324
11816a1791678
1234b61984330
1316c10bac520
14a32c4616ba
15576de9eb69
hex3134ede0d4

211341402324 has 144 divisors (see below), whose sum is σ = 578816888832. Its totient is φ = 64633959936.

The previous prime is 211341402289. The next prime is 211341402331. The reversal of 211341402324 is 423204143112.

211341402324 is a `hidden beast` number, since 2 + 1 + 13 + 414 + 0 + 232 + 4 = 666.

211341402324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 56101489 + ... + 56105255.

It is an arithmetic number, because the mean of its divisors is an integer number (4019561728).

Almost surely, 2211341402324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211341402324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289408444416).

211341402324 is an abundant number, since it is smaller than the sum of its proper divisors (367475486508).

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

211341402324 is a wasteful number, since it uses less digits than its factorization.

211341402324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211341402324 its reverse (423204143112), we get a palindrome (634545545436).

The spelling of 211341402324 in words is "two hundred eleven billion, three hundred forty-one million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 313 383 468 626 766 939 1149 1252 1532 1878 2298 2817 3447 3756 3767 4069 4596 4979 5634 6894 7534 8138 9958 11268 11301 12207 13788 14937 15068 16276 19916 22602 24414 29874 33903 36621 44811 45204 48828 48971 59748 67806 73242 89622 97942 119879 135612 146484 146913 179244 195884 239758 293826 359637 440739 479516 587652 719274 881478 1078911 1179071 1438548 1442761 1558427 1762956 2157822 2358142 2885522 3116854 3537213 4315644 4328283 4675281 4716284 5771044 6233708 7074426 8656566 9350562 10611639 12984849 14025843 14148852 15327923 17313132 18701124 18755893 21223278 25969698 28051686 30655846 37511786 42446556 45983769 51939396 56103372 56267679 61311692 75023572 91967538 112535358 137951307 168803037 183935076 225070716 275902614 337606074 451584193 551805228 675212148 903168386 1354752579 1806336772 2709505158 4064257737 5419010316 5870594509 8128515474 11741189018 16257030948 17611783527 23482378036 35223567054 52835350581 70447134108 105670701162 211341402324