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11531331120 = 2435734991319
BaseRepresentation
bin10101011110101001…
…00010011000110000
31002202122020022111210
422233110202120300
5142104010043440
65144124240120
7555520461111
oct125724423060
932678208453
1011531331120
114988154821
1222999a0040
13111a02c56a
147b56a0208
15477545a80
hex2af522630

11531331120 has 160 divisors (see below), whose sum is σ = 36336960000. Its totient is φ = 3024525312.

The previous prime is 11531331109. The next prime is 11531331157. The reversal of 11531331120 is 2113313511.

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, 8741821 + ... + 8743139.

It is an arithmetic number, because the mean of its divisors is an integer number (227106000).

Almost surely, 211531331120 is an apocalyptic number.

11531331120 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 11531331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480000).

11531331120 is an abundant number, since it is smaller than the sum of its proper divisors (24805628880).

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

11531331120 is a wasteful number, since it uses less digits than its factorization.

11531331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

Adding to 11531331120 its reverse (2113313511), we get a palindrome (13644644631).

The spelling of 11531331120 in words is "eleven billion, five hundred thirty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 499 584 730 876 998 1095 1168 1319 1460 1497 1752 1996 2190 2495 2638 2920 2994 3504 3957 3992 4380 4990 5276 5840 5988 6595 7485 7914 7984 8760 9980 10552 11976 13190 14970 15828 17520 19785 19960 21104 23952 26380 29940 31656 36427 39570 39920 52760 59880 63312 72854 79140 96287 105520 109281 119760 145708 158280 182135 192574 218562 288861 291416 316560 364270 385148 437124 481435 546405 577722 582832 658181 728540 770296 874248 962870 1092810 1155444 1316362 1444305 1457080 1540592 1748496 1925740 1974543 2185620 2310888 2632724 2888610 2914160 3290905 3851480 3949086 4371240 4621776 5265448 5777220 6581810 7702960 7898172 8742480 9872715 10530896 11554440 13163620 15796344 19745430 23108880 26327240 31592688 39490860 48047213 52654480 78981720 96094426 144141639 157963440 192188852 240236065 288283278 384377704 480472130 576566556 720708195 768755408 960944260 1153133112 1441416390 1921888520 2306266224 2882832780 3843777040 5765665560 11531331120