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11123233212 = 22371321746091
BaseRepresentation
bin10100101101111111…
…10001000110111100
31001201012022210102110
422112333301012330
5140240021430322
65035425254020
7542433631230
oct122677610674
931635283373
1011123233212
114798858823
1221a5194310
131083614100
147773cc5c0
154517d2c0c
hex296ff11bc

11123233212 has 144 divisors (see below), whose sum is σ = 34009258752. Its totient is φ = 2760975360.

The previous prime is 11123233201. The next prime is 11123233223. The reversal of 11123233212 is 21233232111.

It is an interprime number because it is at equal distance from previous prime (11123233201) and next prime (11123233223).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218287 + ... + 264377.

It is an arithmetic number, because the mean of its divisors is an integer number (236175408).

Almost surely, 211123233212 is an apocalyptic number.

11123233212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123233212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004629376).

11123233212 is an abundant number, since it is smaller than the sum of its proper divisors (22886025540).

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

11123233212 is a wasteful number, since it uses less digits than its factorization.

11123233212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46148 (or 46133 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 11123233212 its reverse (21233232111), we get a palindrome (32356465323).

The spelling of 11123233212 in words is "eleven billion, one hundred twenty-three million, two hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 169 182 204 221 238 273 338 357 364 442 476 507 546 663 676 714 884 1014 1092 1183 1326 1428 1547 2028 2366 2652 2873 3094 3549 4641 4732 5746 6188 7098 8619 9282 11492 14196 17238 18564 20111 34476 40222 46091 60333 80444 92182 120666 138273 184364 241332 276546 322637 553092 599183 645274 783547 967911 1198366 1290548 1567094 1797549 1935822 2350641 2396732 3134188 3595098 3871644 4194281 4701282 5484829 7190196 7789379 8388562 9402564 10186111 10969658 12582843 15578758 16454487 16777124 20372222 21939316 23368137 25165686 30558333 31157516 32908974 40744444 46736274 50331372 54525653 61116666 65817948 71302777 93472548 109051306 122233332 132419443 142605554 163576959 213908331 218102612 264838886 285211108 327153918 397258329 427816662 529677772 654307836 794516658 855633324 926936101 1589033316 1853872202 2780808303 3707744404 5561616606 11123233212