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11311403640 = 2335675032797
BaseRepresentation
bin10101000100011011…
…00101001001111000
31002012022101211201120
422202031211021320
5141131204404030
65110230345240
7550210226115
oct124215451170
932168354646
1011311403640
114884aa0a79
1222381bb220
1310b35b8b64
147943b190c
154630a2010
hex2a2365278

11311403640 has 128 divisors (see below), whose sum is σ = 34521500160. Its totient is φ = 2964386304.

The previous prime is 11311403599. The next prime is 11311403651. The reversal of 11311403640 is 4630411311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11311403640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4042722 + ... + 4045518.

It is an arithmetic number, because the mean of its divisors is an integer number (269699220).

Almost surely, 211311403640 is an apocalyptic number.

11311403640 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 11311403640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260750080).

11311403640 is an abundant number, since it is smaller than the sum of its proper divisors (23210096520).

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

11311403640 is a wasteful number, since it uses less digits than its factorization.

11311403640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11311403640 its reverse (4630411311), we get a palindrome (15941814951).

The spelling of 11311403640 in words is "eleven billion, three hundred eleven million, four hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 503 536 670 804 1005 1006 1340 1509 1608 2010 2012 2515 2680 2797 3018 4020 4024 5030 5594 6036 7545 8040 8391 10060 11188 12072 13985 15090 16782 20120 22376 27970 30180 33564 33701 41955 55940 60360 67128 67402 83910 101103 111880 134804 167820 168505 187399 202206 269608 335640 337010 374798 404412 505515 562197 674020 749596 808824 936995 1011030 1124394 1348040 1406891 1499192 1873990 2022060 2248788 2810985 2813782 3747980 4044120 4220673 4497576 5621970 5627564 7034455 7495960 8441346 11243940 11255128 14068910 16882692 21103365 22487880 28137820 33765384 42206730 56275640 84413460 94261697 168826920 188523394 282785091 377046788 471308485 565570182 754093576 942616970 1131140364 1413925455 1885233940 2262280728 2827850910 3770467880 5655701820 11311403640