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433130231020 = 225371279115059
BaseRepresentation
bin1100100110110001001…
…00101101010011101100
31112101222120221111002011
412103120210231103230
524044022314343040
6530551032011004
743202241134554
oct6233044552354
91471876844064
10433130231020
111577647a6313
126bb3a530a64
1331ac8384636
1416d6c234164
15b40023d3ea
hex64d892d4ec

433130231020 has 96 divisors (see below), whose sum is σ = 942731919360. Its totient is φ = 167025680640.

The previous prime is 433130230999. The next prime is 433130231033. The reversal of 433130231020 is 20132031334.

It is a junction number, because it is equal to n+sod(n) for n = 433130230982 and 433130231000.

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 31 ways as a sum of consecutive naturals, for example, 85613251 + ... + 85618309.

It is an arithmetic number, because the mean of its divisors is an integer number (9820124160).

Almost surely, 2433130231020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433130231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471365959680).

433130231020 is an abundant number, since it is smaller than the sum of its proper divisors (509601688340).

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

433130231020 is a wasteful number, since it uses less digits than its factorization.

433130231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 433130231020 its reverse (20132031334), we get a palindrome (453262262354).

The spelling of 433130231020 in words is "four hundred thirty-three billion, one hundred thirty million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 127 148 185 254 370 508 635 740 911 1270 1822 2540 3644 4555 4699 5059 9110 9398 10118 18220 18796 20236 23495 25295 33707 46990 50590 67414 93980 101180 115697 134828 168535 187183 231394 337070 374366 462788 578485 642493 674140 748732 935915 1156970 1284986 1871830 2313940 2569972 3212465 3743660 4280789 4608749 6424930 8561578 9217498 12849860 17123156 18434996 21403945 23043745 23772241 42807890 46087490 47544482 85615780 92174980 95088964 118861205 170523713 237722410 341047426 475444820 585311123 682094852 852618565 1170622246 1705237130 2341244492 2926555615 3410474260 5853111230 11706222460 21656511551 43313023102 86626046204 108282557755 216565115510 433130231020