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1014231120 = 243575691061
BaseRepresentation
bin111100011100111…
…111000001010000
32121200110021112120
4330130333001100
54034120343440
6244350254240
734063552020
oct7434770120
92550407476
101014231120
11480563941
122437b7380
13132180876
14989b3a80
155e092dd0
hex3c73f050

1014231120 has 160 divisors (see below), whose sum is σ = 3602983680. Its totient is φ = 231198720.

The previous prime is 1014231103. The next prime is 1014231137. The reversal of 1014231120 is 211324101.

1014231120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1014231103) and next prime (1014231137).

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 1014231120.

It is a congruent number.

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, 955390 + ... + 956450.

It is an arithmetic number, because the mean of its divisors is an integer number (22518648).

Almost surely, 21014231120 is an apocalyptic number.

1014231120 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 1014231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801491840).

1014231120 is an abundant number, since it is smaller than the sum of its proper divisors (2588752560).

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

1014231120 is a wasteful number, since it uses less digits than its factorization.

1014231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

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

The square root of 1014231120 is about 31846.9954626806. The cubic root of 1014231120 is about 1004.7213801540.

Adding to 1014231120 its reverse (211324101), we get a palindrome (1225555221).

The spelling of 1014231120 in words is "one billion, fourteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 569 840 1061 1138 1680 1707 2122 2276 2845 3183 3414 3983 4244 4552 5305 5690 6366 6828 7427 7966 8488 8535 9104 10610 11380 11949 12732 13656 14854 15915 15932 16976 17070 19915 21220 22281 22760 23898 25464 27312 29708 31830 31864 34140 37135 39830 42440 44562 45520 47796 50928 59416 59745 63660 63728 68280 74270 79660 84880 89124 95592 111405 118832 119490 127320 136560 148540 159320 178248 191184 222810 238980 254640 297080 318640 356496 445620 477960 594160 603709 891240 955920 1207418 1782480 1811127 2414836 3018545 3622254 4225963 4829672 6037090 7244508 8451926 9055635 9659344 12074180 12677889 14489016 16903852 18111270 21129815 24148360 25355778 28978032 33807704 36222540 42259630 48296720 50711556 63389445 67615408 72445080 84519260 101423112 126778890 144890160 169038520 202846224 253557780 338077040 507115560 1014231120