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201430420000 = 255482912149
BaseRepresentation
bin1011101110011000110…
…0000100101000100000
3201020221000212112211221
42323212030010220200
511300012141420000
6232311424544424
720360430214465
oct2734614045040
9636830775757
10201430420000
1178476247997
1233056782114
1315cc178bb44
149a6c07166c
15538dd2761a
hex2ee6304a20

201430420000 has 120 divisors (see below), whose sum is σ = 496187653500. Its totient is φ = 80468352000.

The previous prime is 201430419997. The next prime is 201430420019. The reversal of 201430420000 is 24034102.

It can be written as a sum of positive squares in 10 ways, for example, as 1396068496 + 200034351504 = 37364^2 + 447252^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16573926 + ... + 16586074.

Almost surely, 2201430420000 is an apocalyptic number.

201430420000 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 201430420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248093826750).

201430420000 is an abundant number, since it is smaller than the sum of its proper divisors (294757233500).

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

201430420000 is an equidigital number, since it uses as much as digits as its factorization.

201430420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008 (or 12985 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201430420000 its reverse (24034102), we get a palindrome (201454454102).

The spelling of 201430420000 in words is "two hundred one billion, four hundred thirty million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 829 1000 1250 1658 2000 2500 3316 4000 4145 5000 6632 8290 10000 12149 13264 16580 20000 20725 24298 26528 33160 41450 48596 60745 66320 82900 97192 103625 121490 132640 165800 194384 207250 242980 303725 331600 388768 414500 485960 518125 607450 663200 829000 971920 1036250 1214900 1518625 1658000 1943840 2072500 2429800 3037250 3316000 4145000 4859600 6074500 7593125 8290000 9719200 10071521 12149000 15186250 16580000 20143042 24298000 30372500 40286084 48596000 50357605 60745000 80572168 100715210 121490000 161144336 201430420 242980000 251788025 322288672 402860840 503576050 805721680 1007152100 1258940125 1611443360 2014304200 2517880250 4028608400 5035760500 6294700625 8057216800 10071521000 12589401250 20143042000 25178802500 40286084000 50357605000 100715210000 201430420000