Search a number
-
+
200321000320 = 27574130363
BaseRepresentation
bin1011101010010000001…
…1111110001110000000
3201011001201022012011011
42322210003332032000
511240224134002240
6232005354130304
720321066260000
oct2724403761600
9634051265134
10200321000320
1177a56a89521
12329a7120994
1315b759907ac
1499a49a0000
1553267306ea
hex2ea40fe380

200321000320 has 160 divisors (see below), whose sum is σ = 558678832920. Its totient is φ = 68680958976.

The previous prime is 200321000263. The next prime is 200321000323. The reversal of 200321000320 is 23000123002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 200321000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200321000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1471459 + ... + 1601821.

Almost surely, 2200321000320 is an apocalyptic number.

200321000320 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 200321000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279339416460).

200321000320 is an abundant number, since it is smaller than the sum of its proper divisors (358357832600).

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

200321000320 is an frugal number, since it uses more digits than its factorization.

200321000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130410 (or 130377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 200321000320 its reverse (23000123002), we get a palindrome (223321123322).

The spelling of 200321000320 in words is "two hundred billion, three hundred twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 343 392 448 490 560 640 686 784 896 980 1120 1372 1568 1715 1960 2240 2401 2744 3136 3430 3920 4480 4802 5488 6272 6860 7840 9604 10976 12005 13720 15680 19208 21952 24010 27440 31360 38416 43904 48020 54880 76832 96040 109760 130363 153664 192080 219520 260726 307328 384160 521452 651815 768320 912541 1042904 1303630 1536640 1825082 2085808 2607260 3650164 4171616 4562705 5214520 6387787 7300328 8343232 9125410 10429040 12775574 14600656 16686464 18250820 20858080 25551148 29201312 31938935 36501640 41716160 44714509 51102296 58402624 63877870 73003280 83432320 89429018 102204592 116805248 127755740 146006560 178858036 204409184 223572545 255511480 292013120 313001563 357716072 408818368 447145090 511022960 584026240 626003126 715432144 817636736 894290180 1022045920 1252006252 1430864288 1565007815 1788580360 2044091840 2504012504 2861728576 3130015630 3577160720 4088183680 5008025008 5723457152 6260031260 7154321440 10016050016 12520062520 14308642880 20032100032 25040125040 28617285760 40064200064 50080250080 100160500160 200321000320