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1033311302130 = 23537234972091
BaseRepresentation
bin11110000100101100010…
…01110011000111110010
310122210011020111220102210
433002112021303013302
5113412210143132010
62110410251152550
7134440263101652
oct17022611630762
93583136456383
101033311302130
11369252323258
12148319a45756
137659669c3c3
1438026570362
151bd2ae26b20
hexf0962731f2

1033311302130 has 96 divisors (see below), whose sum is σ = 2556122788800. Its totient is φ = 267330481920.

The previous prime is 1033311302129. The next prime is 1033311302147. The reversal of 1033311302130 is 312031133301.

1033311302130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10333113021302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033311302097 and 1033311302106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14297385 + ... + 14369475.

It is an arithmetic number, because the mean of its divisors is an integer number (26626279050).

Almost surely, 21033311302130 is an apocalyptic number.

1033311302130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033311302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278061394400).

1033311302130 is an abundant number, since it is smaller than the sum of its proper divisors (1522811486670).

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

1033311302130 is a wasteful number, since it uses less digits than its factorization.

1033311302130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72524 (or 72487 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1033311302130 its reverse (312031133301), we get a palindrome (1345342435431).

The spelling of 1033311302130 in words is "one trillion, thirty-three billion, three hundred eleven million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 349 370 555 698 1047 1110 1369 1745 2094 2738 3490 4107 5235 6845 8214 10470 12913 13690 20535 25826 38739 41070 64565 72091 77478 129130 144182 193695 216273 360455 387390 432546 477781 720910 955562 1081365 1433343 2162730 2388905 2667367 2866686 4777810 5334734 7166715 8002101 13336835 14333430 16004202 25159759 26673670 40010505 50319518 75479277 80021010 98692579 125798795 150958554 197385158 251597590 296077737 377396385 493462895 592155474 754792770 930911083 986925790 1480388685 1861822166 2792733249 2960777370 4654555415 5585466498 9309110830 13963666245 27927332490 34443710071 68887420142 103331130213 172218550355 206662260426 344437100710 516655651065 1033311302130