Search a number
-
+
11311045020 = 223251131184279
BaseRepresentation
bin10101000100011000…
…01101100110011100
31002012021201121210100
422202030031212130
5141131111420040
65110214541100
7550204203432
oct124214154634
932167647710
1011311045020
1148848765a0
122238067790
1310b34c1862
1479431ad52
15463030b30
hex2a230d99c

11311045020 has 144 divisors (see below), whose sum is σ = 38636881920. Its totient is φ = 2653603200.

The previous prime is 11311044973. The next prime is 11311045049. The reversal of 11311045020 is 2054011311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11311044984 and 11311045002.

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, 30760 + ... + 153519.

It is an arithmetic number, because the mean of its divisors is an integer number (268311680).

Almost surely, 211311045020 is an apocalyptic number.

11311045020 is a gapful number since it is divisible by the number (10) 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 11311045020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19318440960).

11311045020 is an abundant number, since it is smaller than the sum of its proper divisors (27325836900).

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

11311045020 is a wasteful number, since it uses less digits than its factorization.

11311045020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184336 (or 184331 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11311045020 its reverse (2054011311), we get a palindrome (13365056331).

The spelling of 11311045020 in words is "eleven billion, three hundred eleven million, forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 184279 368558 552837 737116 921395 1105674 1658511 1842790 2027069 2211348 2764185 3317022 3685580 4054138 5528370 5712649 6081207 6634044 8108276 8292555 10135345 11056740 11425298 12162414 16585110 17137947 18243621 20270690 22850596 24324828 28563245 30406035 33170220 34275894 36487242 40541380 51413841 57126490 60812070 62839139 68551788 72974484 85689735 91218105 102827682 114252980 121624140 125678278 171379470 182436210 188517417 205655364 251356556 257069205 314195695 342758940 364872420 377034834 514138410 565552251 628391390 754069668 942587085 1028276820 1131104502 1256782780 1885174170 2262209004 2827761255 3770348340 5655522510 11311045020