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11312322021 = 32711133733937
BaseRepresentation
bin10101000100100010…
…00101010111100101
31002012101010111111200
422202101011113211
5141131423301041
65110302153113
7550221102450
oct124221052745
932171114450
1011312322021
114885568a70
122238582799
1310b384ab90
14794570497
154631d41b6
hex2a24455e5

11312322021 has 96 divisors (see below), whose sum is σ = 22532659968. Its totient is φ = 5277726720.

The previous prime is 11312321987. The next prime is 11312322029. The reversal of 11312322021 is 12022321311.

11312322021 is a `hidden beast` number, since 11 + 312 + 322 + 0 + 21 = 666.

It is not a de Polignac number, because 11312322021 - 26 = 11312321957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11312321985 and 11312322003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312322029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316365 + ... + 350301.

It is an arithmetic number, because the mean of its divisors is an integer number (234715208).

Almost surely, 211312322021 is an apocalyptic number.

11312322021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11312322021 is a deficient number, since it is larger than the sum of its proper divisors (11220337947).

11312322021 is a wasteful number, since it uses less digits than its factorization.

11312322021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34011 (or 34008 counting only the distinct ones).

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

Adding to 11312322021 its reverse (12022321311), we get a palindrome (23334643332).

It can be divided in two parts, 11312 and 322021, that added together give a palindrome (333333).

The spelling of 11312322021 in words is "eleven billion, three hundred twelve million, three hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 33937 37037 47619 101811 111111 237559 305433 333333 373307 441181 712677 1119921 1255669 1323543 2138031 2613149 3088267 3359763 3767007 3970629 4852991 7839447 8789683 9264801 11301021 13812359 14558973 16323697 23518341 26369049 27794403 33970937 41437077 43676919 48971091 79107147 96686513 101912811 114265879 124311231 146913273 179560667 290059539 305738433 342797637 538682001 870178617 1028392911 1256924669 1616046003 3770774007 11312322021