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1313203320100 = 2252713915498713
BaseRepresentation
bin10011000111000001000…
…001000111010100100100
311122112121101201121102201
4103013001001013110210
5133003420022220400
62443135520344244
7163606255022110
oct23070101072444
94575541647381
101313203320100
11466a21047a91
12192611175084
1396ab0646699
14477b8d1c740
152425d13a06a
hex131c1047524

1313203320100 has 144 divisors (see below), whose sum is σ = 3282668368000. Its totient is φ = 446662149120.

The previous prime is 1313203320073. The next prime is 1313203320211. The reversal of 1313203320100 is 10233023131.

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, 150713344 + ... + 150722056.

Almost surely, 21313203320100 is an apocalyptic number.

1313203320100 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 1313203320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641334184000).

1313203320100 is an abundant number, since it is smaller than the sum of its proper divisors (1969465047900).

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

1313203320100 is a wasteful number, since it uses less digits than its factorization.

1313203320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1313203320100 its reverse (10233023131), we get a palindrome (1323436343231).

The spelling of 1313203320100 in words is "one trillion, three hundred thirteen billion, two hundred three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 139 140 175 278 350 556 695 700 973 1390 1549 1946 2780 3098 3475 3892 4865 6196 6950 7745 8713 9730 10843 13900 15490 17426 19460 21686 24325 30980 34852 38725 43372 43565 48650 54215 60991 77450 87130 97300 108430 121982 154900 174260 215311 216860 217825 243964 271075 304955 430622 435650 542150 609910 861244 871300 1076555 1084300 1211107 1219820 1507177 1524775 2153110 2422214 3014354 3049550 4306220 4844428 5382775 6028708 6055535 6099100 7535885 8477749 10765550 12111070 13496437 15071770 16955498 21531100 24222140 26992874 30143540 30277675 33910996 37679425 42388745 53985748 60555350 67482185 75358850 84777490 94475059 121110700 134964370 150717700 169554980 188950118 211943725 269928740 337410925 377900236 423887450 472375295 674821850 847774900 944750590 1349643700 1876004743 1889501180 2361876475 3752009486 4723752950 7504018972 9380023715 9447505900 13132033201 18760047430 26264066402 37520094860 46900118575 52528132804 65660166005 93800237150 131320332010 187600474300 262640664020 328300830025 656601660050 1313203320100