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203212002320 = 245672571991
BaseRepresentation
bin1011110101000001100…
…0010001010000010000
3201102112012020022100022
42331100120101100100
511312134233033240
6233204310243012
720452532343155
oct2752030212020
9642465208308
10203212002320
11791aa972078
1233473356468
1316216900a72
149b9a91222c
1554454439b5
hex2f50611410

203212002320 has 120 divisors (see below), whose sum is σ = 480949717248. Its totient is φ = 79850707200.

The previous prime is 203212002293. The next prime is 203212002347. The reversal of 203212002320 is 23200212302.

It is an interprime number because it is at equal distance from previous prime (203212002293) and next prime (203212002347).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205057025 + ... + 205058015.

Almost surely, 2203212002320 is an apocalyptic number.

203212002320 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 203212002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240474858624).

203212002320 is an abundant number, since it is smaller than the sum of its proper divisors (277737714928).

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

203212002320 is an equidigital number, since it uses as much as digits as its factorization.

203212002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 203212002320 its reverse (23200212302), we get a palindrome (226412214622).

The spelling of 203212002320 in words is "two hundred three billion, two hundred twelve million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 571 670 991 1072 1142 1340 1982 2284 2680 2855 3964 4489 4568 4955 5360 5710 7928 8978 9136 9910 11420 15856 17956 19820 22445 22840 35912 38257 39640 44890 45680 66397 71824 76514 79280 89780 132794 153028 179560 191285 265588 306056 331985 359120 382570 531176 565861 612112 663970 765140 1062352 1131722 1327940 1530280 2263444 2563219 2655880 2829305 3060560 4448599 4526888 5126438 5311760 5658610 8897198 9053776 10252876 11317220 12816095 17794396 20505752 22242995 22634440 25632190 35588792 37912687 41011504 44485990 45268880 51264380 71177584 75825374 88971980 102528760 151650748 177943960 189563435 205057520 303301496 355887920 379126870 606602992 758253740 1516507480 2540150029 3033014960 5080300058 10160600116 12700750145 20321200232 25401500290 40642400464 50803000580 101606001160 203212002320