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1000500101300 = 225271997399719
BaseRepresentation
bin11101000111100100111…
…01000000000010110100
310112122110120110012111102
432203302131000002310
5112343011011220200
62043342353225232
7132166216354220
oct16436235000264
93478416405442
101000500101300
11356345251457
12141aa1562218
1373467a87a7b
14365d2a27780
151b05a5ee6d5
hexe8f27400b4

1000500101300 has 144 divisors (see below), whose sum is σ = 2497340160000. Its totient is φ = 340807927680.

The previous prime is 1000500101287. The next prime is 1000500101303. The reversal of 1000500101300 is 31010050001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000500101303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102937841 + ... + 102947559.

It is an arithmetic number, because the mean of its divisors is an integer number (17342640000).

Almost surely, 21000500101300 is an apocalyptic number.

1000500101300 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 1000500101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248670080000).

1000500101300 is an abundant number, since it is smaller than the sum of its proper divisors (1496840058700).

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

1000500101300 is a wasteful number, since it uses less digits than its factorization.

1000500101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10671 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 1000500101300 its reverse (31010050001), we get a palindrome (1031510151301).

The spelling of 1000500101300 in words is "one trillion, five hundred million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 199 350 398 700 739 796 995 1393 1478 1990 2786 2956 3695 3980 4975 5173 5572 6965 7390 9719 9950 10346 13930 14780 18475 19438 19900 20692 25865 27860 34825 36950 38876 48595 51730 68033 69650 73900 97190 103460 129325 136066 139300 147061 194380 242975 258650 272132 294122 340165 485950 517300 588244 680330 735305 971900 1029427 1360660 1470610 1700825 1934081 2058854 2941220 3401650 3676525 3868162 4117708 5147135 6803300 7182341 7353050 7736324 9670405 10294270 13538567 14364682 14706100 19340810 20588540 25735675 27077134 28729364 35911705 38681620 48352025 50276387 51471350 54154268 67692835 71823410 96704050 100552774 102942700 135385670 143646820 179558525 193408100 201105548 251381935 270771340 338464175 359117050 502763870 676928350 718234100 1005527740 1256909675 1353856700 1429285859 2513819350 2858571718 5027638700 5717143436 7146429295 10005001013 14292858590 20010002026 28585717180 35732146475 40020004052 50025005065 71464292950 100050010130 142928585900 200100020260 250125025325 500250050650 1000500101300