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11130310752 = 2531116976211
BaseRepresentation
bin10100101110110101…
…10001000001100000
31001201200122100222120
422113122301001200
5140243324421002
65040241104240
7542551036401
oct122732610140
931650570876
1011130310752
1147a1852230
1221a7628080
131084c216c2
147783119a8
1545222ecbc
hex2976b1060

11130310752 has 96 divisors (see below), whose sum is σ = 31897079424. Its totient is φ = 3370291200.

The previous prime is 11130310727. The next prime is 11130310769. The reversal of 11130310752 is 25701303111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788927 + ... + 1795137.

It is an arithmetic number, because the mean of its divisors is an integer number (332261244).

Almost surely, 211130310752 is an apocalyptic number.

11130310752 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 11130310752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948539712).

11130310752 is an abundant number, since it is smaller than the sum of its proper divisors (20766768672).

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

11130310752 is a wasteful number, since it uses less digits than its factorization.

11130310752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

Adding to 11130310752 its reverse (25701303111), we get a palindrome (36831613863).

The spelling of 11130310752 in words is "eleven billion, one hundred thirty million, three hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1697 3394 5091 6211 6788 10182 12422 13576 18633 18667 20364 24844 27152 37266 37334 40728 49688 54304 56001 68321 74532 74668 81456 99376 112002 136642 149064 149336 162912 198752 204963 224004 273284 298128 298672 409926 448008 546568 596256 597344 819852 896016 1093136 1639704 1792032 2186272 3279408 6558816 10540067 21080134 31620201 42160268 63240402 84320536 115940737 126480804 168641072 231881474 252961608 337282144 347822211 463762948 505923216 695644422 927525896 1011846432 1391288844 1855051792 2782577688 3710103584 5565155376 11130310752