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200364431300 = 225211376773477
BaseRepresentation
bin1011101010011010100…
…1101001011111000100
3201011011202000201020222
42322212221221133010
511240321243300200
6232013545043512
720322134364635
oct2724651513704
9634152021228
10200364431300
1177a795528a0
12329b9786598
1315b81988bb7
1499aa66788c
15532a45dd85
hex2ea6a697c4

200364431300 has 144 divisors (see below), whose sum is σ = 494414063808. Its totient is φ = 69831590400.

The previous prime is 200364431279. The next prime is 200364431317. The reversal of 200364431300 is 3134463002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 200364431300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690162 + ... + 2763638.

Almost surely, 2200364431300 is an apocalyptic number.

200364431300 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 200364431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247207031904).

200364431300 is an abundant number, since it is smaller than the sum of its proper divisors (294049632508).

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

200364431300 is a wasteful number, since it uses less digits than its factorization.

200364431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73606 (or 73599 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 200364431300 its reverse (3134463002), we get a palindrome (203498894302).

The spelling of 200364431300 in words is "two hundred billion, three hundred sixty-four million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 67 74 100 110 134 148 185 220 268 275 335 370 407 550 670 737 740 814 925 1100 1340 1474 1628 1675 1850 2035 2479 2948 3350 3685 3700 4070 4958 6700 7370 8140 9916 10175 12395 14740 18425 20350 24790 27269 36850 40700 49580 54538 61975 73477 73700 109076 123950 136345 146954 247900 272690 293908 367385 545380 681725 734770 808247 1363450 1469540 1616494 1836925 2718649 2726900 3232988 3673850 4041235 4922959 5437298 7347700 8082470 9845918 10874596 13593245 16164940 19691836 20206175 24614795 27186490 29905139 40412350 49229590 54152549 54372980 59810278 67966225 80824700 98459180 108305098 119620556 123073975 135932450 149525695 182149483 216610196 246147950 270762745 271864900 299051390 364298966 492295900 541525490 598102780 728597932 747628475 910747415 1083050980 1353813725 1495256950 1821494830 2003644313 2707627450 2990513900 3642989660 4007288626 4553737075 5415254900 8014577252 9107474150 10018221565 18214948300 20036443130 40072886260 50091107825 100182215650 200364431300