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1130241004020 = 2232522737374159
BaseRepresentation
bin10000011100100111100…
…111010001000111110100
311000001100102211221110200
4100130213213101013310
5122004213144112040
62223120415120500
7144441266010012
oct20344747210764
94001312757420
101130241004020
113a63726439a7
1216306b513130
13827730831ab
143c9bd9298b2
151e600833630
hex107279d11f4

1130241004020 has 144 divisors (see below), whose sum is σ = 3452779249920. Its totient is φ = 299261346048.

The previous prime is 1130241004001. The next prime is 1130241004021. The reversal of 1130241004020 is 204001420311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130241003984 and 1130241004002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130241004021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15203701 + ... + 15277859.

It is an arithmetic number, because the mean of its divisors is an integer number (23977633680).

Almost surely, 21130241004020 is an apocalyptic number.

1130241004020 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 1130241004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726389624960).

1130241004020 is an abundant number, since it is smaller than the sum of its proper divisors (2322538245900).

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

1130241004020 is a wasteful number, since it uses less digits than its factorization.

1130241004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74774 (or 74769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1130241004020 its reverse (204001420311), we get a palindrome (1334242424331).

The spelling of 1130241004020 in words is "one trillion, one hundred thirty billion, two hundred forty-one million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 373 454 681 746 908 1119 1135 1362 1492 1865 2043 2238 2270 2724 3357 3405 3730 4086 4476 4540 5595 6714 6810 7460 8172 10215 11190 13428 13620 16785 20430 22380 33570 40860 67140 74159 84671 148318 169342 222477 254013 296636 338684 370795 423355 444954 508026 667431 741590 762039 846710 889908 1016052 1112385 1270065 1334862 1483180 1524078 1693420 2224770 2540130 2669724 3048156 3337155 3810195 4449540 5080260 6674310 7620390 13348620 15240780 16834093 27661307 33668186 50502279 55322614 67336372 82983921 84170465 101004558 110645228 138306535 151506837 165967842 168340930 202009116 248951763 252511395 276613070 303013674 331935684 336681860 414919605 497903526 505022790 553226140 606027348 757534185 829839210 995807052 1010045580 1244758815 1515068370 1659678420 2489517630 3030136740 4979035260 6279116689 12558233378 18837350067 25116466756 31395583445 37674700134 56512050201 62791166890 75349400268 94186750335 113024100402 125582333780 188373500670 226048200804 282560251005 376747001340 565120502010 1130241004020