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11120232120 = 2335293678707
BaseRepresentation
bin10100101101101000…
…10100011010111000
31001200222200022200220
422112310110122320
5140233234411440
65035241100040
7542366261544
oct122664243270
931628608626
1011120232120
114797098a88
1221a4187620
131082b0310a
14776c4aa24
154513dd8d0
hex296d146b8

11120232120 has 128 divisors (see below), whose sum is σ = 34609075200. Its totient is φ = 2855010816.

The previous prime is 11120232061. The next prime is 11120232127. The reversal of 11120232120 is 2123202111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11120232120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120232127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272807 + ... + 1281513.

It is an arithmetic number, because the mean of its divisors is an integer number (270383400).

Almost surely, 211120232120 is an apocalyptic number.

11120232120 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 11120232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304537600).

11120232120 is an abundant number, since it is smaller than the sum of its proper divisors (23488843080).

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

11120232120 is a wasteful number, since it uses less digits than its factorization.

11120232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9117 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11120232120 its reverse (2123202111), we get a palindrome (13243434231).

The spelling of 11120232120 in words is "eleven billion, one hundred twenty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 367 435 580 696 734 870 1101 1160 1468 1740 1835 2202 2936 3480 3670 4404 5505 7340 8707 8808 10643 11010 14680 17414 21286 22020 26121 31929 34828 42572 43535 44040 52242 53215 63858 69656 85144 87070 104484 106430 127716 130605 159645 174140 208968 212860 252503 255432 261210 319290 348280 425720 505006 522420 638580 757509 1010012 1044840 1262515 1277160 1515018 2020024 2525030 3030036 3195469 3787545 5050060 6060072 6390938 7575090 9586407 10100120 12781876 15150180 15977345 19172814 25563752 30300360 31954690 38345628 47932035 63909380 76691256 92668601 95864070 127818760 185337202 191728140 278005803 370674404 383456280 463343005 556011606 741348808 926686010 1112023212 1390029015 1853372020 2224046424 2780058030 3706744040 5560116060 11120232120