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11111021231232 = 273138272691373
BaseRepresentation
bin1010000110101111110001…
…1110010011110010000000
31110100012111011200120120110
42201223330132103302000
52424020332413344412
635344155505511320
72224513315112316
oct241537436236200
943305434616513
1011111021231232
1135a418090417a
1212b5482642540
136279c3382aa0
142a5ac22320b6
15144053278d3c
hexa1afc793c80

11111021231232 has 128 divisors (see below), whose sum is σ = 31822375556160. Its totient is φ = 3414640545792.

The previous prime is 11111021231203. The next prime is 11111021231239. The reversal of 11111021231232 is 23213212011111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11111021231199 and 11111021231208.

It is not an unprimeable number, because it can be changed into a prime (11111021231239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2782698 + ... + 5474070.

Almost surely, 211111021231232 is an apocalyptic number.

11111021231232 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 11111021231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911187778080).

11111021231232 is an abundant number, since it is smaller than the sum of its proper divisors (20711354324928).

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

11111021231232 is a wasteful number, since it uses less digits than its factorization.

11111021231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692230 (or 2692218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11111021231232 its reverse (23213212011111), we get a palindrome (34324233242343).

The spelling of 11111021231232 in words is "eleven trillion, one hundred eleven billion, twenty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 827 832 1248 1654 1664 2481 2496 3308 4962 4992 6616 9924 10751 13232 19848 21502 26464 32253 39696 43004 52928 64506 79392 86008 105856 129012 158784 172016 258024 317568 344032 516048 688064 1032096 1376128 2064192 2691373 4128384 5382746 8074119 10765492 16148238 21530984 32296476 34987849 43061968 64592952 69975698 86123936 104963547 129185904 139951396 172247872 209927094 258371808 279902792 344495744 419854188 516743616 559805584 839708376 1033487232 1119611168 1679416752 2225765471 2239222336 3358833504 4451530942 4478444672 6677296413 6717667008 8903061884 13354592826 13435334016 17806123768 26709185652 28934951123 35612247536 53418371304 57869902246 71224495072 86804853369 106836742608 115739804492 142448990144 173609706738 213673485216 231479608984 284897980288 347219413476 427346970432 462959217968 694438826952 854693940864 925918435936 1388877653904 1851836871872 2777755307808 3703673743744 5555510615616 11111021231232