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20203042000 = 245319737283
BaseRepresentation
bin10010110100001100…
…011111010011010000
31221010222120212111211
4102310030133103100
5312333434321000
613140421145504
71313436011041
oct226414372320
957128525454
1020203042000
1186280aa529
123ab9b5b294
131b9c78872b
14d9925a8c8
157d39c67ba
hex4b431f4d0

20203042000 has 160 divisors (see below), whose sum is σ = 52133627520. Its totient is φ = 7549977600.

The previous prime is 20203041983. The next prime is 20203042007. The reversal of 20203042000 is 24030202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20203042007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2770359 + ... + 2777641.

It is an arithmetic number, because the mean of its divisors is an integer number (325835172).

Almost surely, 220203042000 is an apocalyptic number.

20203042000 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 20203042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066813760).

20203042000 is an abundant number, since it is smaller than the sum of its proper divisors (31930585520).

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

20203042000 is a wasteful number, since it uses less digits than its factorization.

20203042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7398 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 20203042000 its reverse (24030202), we get a palindrome (20227072202).

The spelling of 20203042000 in words is "twenty billion, two hundred three million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 73 76 80 95 100 125 146 152 190 200 250 292 304 365 380 400 475 500 584 730 760 950 1000 1168 1387 1460 1520 1825 1900 2000 2375 2774 2920 3650 3800 4750 5548 5840 6935 7283 7300 7600 9125 9500 11096 13870 14566 14600 18250 19000 22192 27740 29132 29200 34675 36415 36500 38000 55480 58264 69350 72830 73000 110960 116528 138377 138700 145660 146000 173375 182075 276754 277400 291320 346750 364150 531659 553508 554800 582640 691885 693500 728300 910375 1063318 1107016 1383770 1387000 1456600 1820750 2126636 2214032 2658295 2767540 2774000 2913200 3459425 3641500 4253272 5316590 5535080 6918850 7283000 8506544 10101521 10633180 11070160 13291475 13837700 14566000 17297125 20203042 21266360 26582950 27675400 34594250 40406084 42532720 50507605 53165900 55350800 66457375 69188500 80812168 101015210 106331800 132914750 138377000 161624336 202030420 212663600 252538025 265829500 276754000 404060840 505076050 531659000 808121680 1010152100 1063318000 1262690125 2020304200 2525380250 4040608400 5050760500 10101521000 20203042000