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11120344440330 = 23561122918472677
BaseRepresentation
bin1010000111010010100000…
…1011100001111000001010
31110101002112220221200010010
42201310220023201320022
52424143431134042310
635352340554332350
72225263334066046
oct241645013417012
943332486850103
1011120344440330
1135a8125591164
1212b7244a2a0b6
1362884aa98b68
142a632853d026
151443eb9eb320
hexa1d282e1e0a

11120344440330 has 128 divisors (see below), whose sum is σ = 27173265799680. Its totient is φ = 2911772298240.

The previous prime is 11120344440229. The next prime is 11120344440463. The reversal of 11120344440330 is 3304444302111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4154030952 + ... + 4154033628.

It is an arithmetic number, because the mean of its divisors is an integer number (212291139060).

Almost surely, 211120344440330 is an apocalyptic number.

11120344440330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120344440330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586632899840).

11120344440330 is an abundant number, since it is smaller than the sum of its proper divisors (16052921359350).

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

11120344440330 is a wasteful number, since it uses less digits than its factorization.

11120344440330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11120344440330 its reverse (3304444302111), we get a palindrome (14424788742441).

The spelling of 11120344440330 in words is "eleven trillion, one hundred twenty billion, three hundred forty-four million, four hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1229 1830 1847 2458 2677 3687 3694 5354 5541 6145 7374 8031 9235 11082 12290 13385 16062 18435 18470 26770 27705 36870 40155 55410 74969 80310 112667 149938 163297 224907 225334 326594 338001 374845 449814 489891 563335 676002 749690 816485 979782 1124535 1126670 1632970 1690005 2249070 2269963 2449455 3290033 3380010 4539926 4898910 4944419 6580066 6809889 9870099 9888838 11349815 13619778 14833257 16450165 19740198 22699630 24722095 29666514 32900330 34049445 49350495 49444190 68098890 74166285 98700990 138467743 148332570 200692013 276935486 301609559 401384026 415403229 602076039 603219118 692338715 830806458 904828677 1003460065 1204152078 1384677430 1508047795 1809657354 2006920130 2077016145 3010380195 3016095590 4154032290 4524143385 6020760390 6076690951 9048286770 12153381902 18230072853 30383454755 36460145706 60766909510 91150364265 182300728530 370678148011 741356296022 1112034444033 1853390740055 2224068888066 3706781480110 5560172220165 11120344440330