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200013031320 = 23352960794687
BaseRepresentation
bin1011101001000110110…
…1001010011110011000
3201010021020210202002220
42322101231022132120
511234111314000240
6231515033224040
720310336500124
oct2722155123630
9633236722086
10200013031320
1177909161893
123291bb62020
1315b26c3270b
149975b14584
15530969a5d0
hex2e91b4a798

200013031320 has 128 divisors (see below), whose sum is σ = 621759283200. Its totient is φ = 51412225536.

The previous prime is 200013031303. The next prime is 200013031529. The reversal of 200013031320 is 23130310002.

200013031320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200013031320.

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 31 ways as a sum of consecutive naturals, for example, 2065017 + ... + 2159703.

It is an arithmetic number, because the mean of its divisors is an integer number (4857494400).

Almost surely, 2200013031320 is an apocalyptic number.

200013031320 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 200013031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310879641600).

200013031320 is an abundant number, since it is smaller than the sum of its proper divisors (421746251880).

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

200013031320 is a wasteful number, since it uses less digits than its factorization.

200013031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95337 (or 95333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 200013031320 its reverse (23130310002), we get a palindrome (223143341322).

The spelling of 200013031320 in words is "two hundred billion, thirteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 607 696 870 1160 1214 1740 1821 2428 3035 3480 3642 4856 6070 7284 9105 12140 14568 17603 18210 24280 35206 36420 52809 70412 72840 88015 94687 105618 140824 176030 189374 211236 264045 284061 352060 378748 422472 473435 528090 568122 704120 757496 946870 1056180 1136244 1420305 1893740 2112360 2272488 2745923 2840610 3787480 5491846 5681220 8237769 10983692 11362440 13729615 16475538 21967384 27459230 32951076 41188845 54918460 57475009 65902152 82377690 109836920 114950018 164755380 172425027 229900036 287375045 329510760 344850054 459800072 574750090 689700108 862125135 1149500180 1379400216 1666775261 1724250270 2299000360 3333550522 3448500540 5000325783 6667101044 6897001080 8333876305 10000651566 13334202088 16667752610 20001303132 25001628915 33335505220 40002606264 50003257830 66671010440 100006515660 200013031320