Search a number
-
+
11012233131132 = 2231983246715013
BaseRepresentation
bin1010000000111111110000…
…1111100111010001111100
31102222202111110110010110020
42200033330033213101330
52420411023140144012
635230541114012140
72214415255113552
oct240177417472174
942882443403406
1011012233131132
113566297572442
12129a2b2717050
1361b5ab97309c
142a0dd011bbd2
151416c062aa8c
hexa03fc3e747c

11012233131132 has 144 divisors (see below), whose sum is σ = 27437842373760. Its totient is φ = 3428063938944.

The previous prime is 11012233131101. The next prime is 11012233131161. The reversal of 11012233131132 is 23113133221011.

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, 733505658 + ... + 733520670.

It is an arithmetic number, because the mean of its divisors is an integer number (190540572040).

Almost surely, 211012233131132 is an apocalyptic number.

11012233131132 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 11012233131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718921186880).

11012233131132 is an abundant number, since it is smaller than the sum of its proper divisors (16425609242628).

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

11012233131132 is a wasteful number, since it uses less digits than its factorization.

11012233131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15672 (or 15587 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11012233131132 its reverse (23113133221011), we get a palindrome (34125366352143).

The spelling of 11012233131132 in words is "eleven trillion, twelve billion, two hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 467 498 934 996 1401 1577 1868 2802 3154 4731 5604 6308 6889 8873 9462 13778 15013 17746 18924 20667 26619 27556 30026 35492 38761 41334 45039 53238 60052 77522 82668 90078 106476 116283 130891 155044 180156 232566 261782 285247 392673 465132 523564 570494 736459 785346 855741 1140988 1246079 1472918 1570692 1711482 2209377 2492158 2945836 3217163 3422964 3738237 4418754 4984316 6434326 7011071 7476474 8837508 9651489 12868652 14022142 14952948 19302978 21033213 23675501 28044284 38605956 42066426 47351002 61126097 71026503 84132852 94702004 103424557 122252194 133210349 142053006 183378291 206849114 244504388 266420698 284106012 310273671 366756582 399631047 413698228 532841396 581918893 620547342 733513164 799262094 1163837786 1241094684 1598524188 1745756679 1965066583 2327675572 3491513358 3930133166 5895199749 6983026716 7860266332 11056458967 11790399498 22112917934 23580798996 33169376901 44225835868 48299268119 66338753802 96598536238 132677507604 144897804357 193197072476 289795608714 579591217428 917686094261 1835372188522 2753058282783 3670744377044 5506116565566 11012233131132