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20433401300 = 22521324992423
BaseRepresentation
bin10011000001111011…
…001111010111010100
31221202001001100001202
4103001323033113110
5313321422320200
613215330412032
71322234021354
oct230173172724
957661040052
1020433401300
118736138914
123b63131018
131c08412400
14dbbaa2b64
157e8d2b1d5
hex4c1ecf5d4

20433401300 has 108 divisors (see below), whose sum is σ = 48129732000. Its totient is φ = 7526413440.

The previous prime is 20433401159. The next prime is 20433401327. The reversal of 20433401300 is 310433402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8431889 + ... + 8434311.

Almost surely, 220433401300 is an apocalyptic number.

20433401300 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 20433401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064866000).

20433401300 is an abundant number, since it is smaller than the sum of its proper divisors (27696330700).

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

20433401300 is a wasteful number, since it uses less digits than its factorization.

20433401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20433401300 its reverse (310433402), we get a palindrome (20743834702).

The spelling of 20433401300 in words is "twenty billion, four hundred thirty-three million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 499 650 676 845 998 1300 1690 1996 2423 2495 3380 4225 4846 4990 6487 8450 9692 9980 12115 12475 12974 16900 24230 24950 25948 31499 32435 48460 49900 60575 62998 64870 84331 121150 125996 129740 157495 162175 168662 242300 314990 324350 337324 409487 421655 629980 648700 787475 818974 843310 1209077 1574950 1637948 1686620 2047435 2108275 2418154 3149900 4094870 4216550 4836308 6045385 8189740 8433100 10237175 12090770 15718001 20474350 24181540 30226925 31436002 40948700 60453850 62872004 78590005 120907700 157180010 204334013 314360020 392950025 408668026 785900050 817336052 1021670065 1571800100 2043340130 4086680260 5108350325 10216700650 20433401300