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1231011120 = 243510947057
BaseRepresentation
bin100100101011111…
…1011110100110000
310011210100211210110
41021113323310300
510010114323440
6322052501320
742335264463
oct11127736460
93153324713
101231011120
11581967969
122a431a840
13168061761
14b96c32da
1573114080
hex495fbd30

1231011120 has 80 divisors (see below), whose sum is σ = 3851226720. Its totient is φ = 325251072.

The previous prime is 1231011113. The next prime is 1231011143. The reversal of 1231011120 is 211101321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1231011096 and 1231011105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632 + ... + 49688.

It is an arithmetic number, because the mean of its divisors is an integer number (48140334).

Almost surely, 21231011120 is an apocalyptic number.

1231011120 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 1231011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925613360).

1231011120 is an abundant number, since it is smaller than the sum of its proper divisors (2620215600).

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

1231011120 is a wasteful number, since it uses less digits than its factorization.

1231011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47182 (or 47176 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1231011120 is about 35085.7680548681. The cubic root of 1231011120 is about 1071.7347816081.

Adding to 1231011120 its reverse (211101321), we get a palindrome (1442112441).

The spelling of 1231011120 in words is "one billion, two hundred thirty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5232 6540 8720 13080 26160 47057 94114 141171 188228 235285 282342 376456 470570 564684 705855 752912 941140 1129368 1411710 1882280 2258736 2823420 3764560 5129213 5646840 10258426 11293680 15387639 20516852 25646065 30775278 41033704 51292130 61550556 76938195 82067408 102584260 123101112 153876390 205168520 246202224 307752780 410337040 615505560 1231011120