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103031230140 = 2232513116072719
BaseRepresentation
bin101111111110100100…
…0111100111010111100
3100211221102102210021200
41133331020330322330
53142001443331030
6115155404455500
710305132002106
oct1377510747274
9324842383250
10103031230140
113a771497183
1217b74b4a590
13993c809b47
144db5876576
152a303ebd60
hex17fd23cebc

103031230140 has 144 divisors (see below), whose sum is σ = 315225630720. Its totient is φ = 27238273920.

The previous prime is 103031230079. The next prime is 103031230147. The reversal of 103031230140 is 41032130301.

103031230140 is a `hidden beast` number, since 10 + 3 + 0 + 312 + 301 + 40 = 666.

103031230140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031230147) 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, 37891701 + ... + 37894419.

It is an arithmetic number, because the mean of its divisors is an integer number (2189066880).

Almost surely, 2103031230140 is an apocalyptic number.

103031230140 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 103031230140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157612815360).

103031230140 is an abundant number, since it is smaller than the sum of its proper divisors (212194400580).

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

103031230140 is a wasteful number, since it uses less digits than its factorization.

103031230140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103031230140 its reverse (41032130301), we get a palindrome (144063360441).

The spelling of 103031230140 in words is "one hundred three billion, thirty-one million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1607 1965 2358 2620 2719 3214 3930 4716 4821 5438 5895 6428 7860 8035 8157 9642 10876 11790 13595 14463 16070 16314 19284 23580 24105 24471 27190 28926 32140 32628 40785 48210 48942 54380 57852 72315 81570 96420 97884 122355 144630 163140 210517 244710 289260 356189 421034 489420 631551 712378 842068 1052585 1068567 1263102 1424756 1780945 1894653 2105170 2137134 2526204 3157755 3205701 3561890 3789306 4210340 4274268 4369433 5342835 6315510 6411402 7123780 7578612 8738866 9473265 10685670 12631020 12822804 13108299 16028505 17477732 18946530 21371340 21847165 26216598 32057010 37893060 39324897 43694330 52433196 64114020 65541495 78649794 87388660 131082990 157299588 196624485 262165980 393248970 572395723 786497940 1144791446 1717187169 2289582892 2861978615 3434374338 5151561507 5723957230 6868748676 8585935845 10303123014 11447914460 17171871690 20606246028 25757807535 34343743380 51515615070 103031230140