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20201302000 = 2453117571213
BaseRepresentation
bin10010110100000101…
…110110011111110000
31221010212022110200101
4102310011312133300
5312333013131000
613140320002144
71313415143125
oct226405663760
957125273611
1020201302000
118627121210
123ab9460354
131b9c2c9749
14d98d2674c
157d3780e6a
hex4b41767f0

20201302000 has 160 divisors (see below), whose sum is σ = 53401742784. Its totient is φ = 7330176000.

The previous prime is 20201301979. The next prime is 20201302021. The reversal of 20201302000 is 20310202.

It is an interprime number because it is at equal distance from previous prime (20201301979) and next prime (20201302021).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16653394 + ... + 16654606.

Almost surely, 220201302000 is an apocalyptic number.

20201302000 is a gapful number since it is divisible by the number (20) 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 20201302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26700871392).

20201302000 is an abundant number, since it is smaller than the sum of its proper divisors (33200440784).

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

20201302000 is a wasteful number, since it uses less digits than its factorization.

20201302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20201302000 its reverse (20310202), we get a palindrome (20221612202).

The spelling of 20201302000 in words is "twenty billion, two hundred one million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 757 880 1000 1100 1213 1375 1514 2000 2200 2426 2750 3028 3785 4400 4852 5500 6056 6065 7570 8327 9704 11000 12112 12130 13343 15140 16654 18925 19408 22000 24260 26686 30280 30325 33308 37850 41635 48520 53372 60560 60650 66616 66715 75700 83270 94625 97040 106744 121300 133232 133430 151400 151625 166540 189250 208175 213488 242600 266860 302800 303250 333080 333575 378500 416350 485200 533720 606500 666160 667150 757000 832700 918241 1040875 1067440 1213000 1334300 1514000 1665400 1667875 1836482 2081750 2426000 2668600 3330800 3335750 3672964 4163500 4591205 5337200 6671500 7345928 8327000 9182410 10100651 13343000 14691856 16654000 18364820 20201302 22956025 26686000 36729640 40402604 45912050 50503255 73459280 80805208 91824100 101006510 114780125 161610416 183648200 202013020 229560250 252516275 367296400 404026040 459120500 505032550 808052080 918241000 1010065100 1262581375 1836482000 2020130200 2525162750 4040260400 5050325500 10100651000 20201302000