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20310131200 = 29521793337
BaseRepresentation
bin10010111010100101…
…000000001000000000
31221102110002120021111
4102322211000020000
5313043343144300
613155204333104
71316206160332
oct227245001000
957373076244
1020310131200
1186825a31a7
123b299a4194
131bb8a11c18
14da9575452
157dd0cb9ba
hex4ba940200

20310131200 has 120 divisors (see below), whose sum is σ = 53280503892. Its totient is φ = 7646085120.

The previous prime is 20310131161. The next prime is 20310131227. The reversal of 20310131200 is 213101302.

It can be written as a sum of positive squares in 6 ways, for example, as 9249822976 + 11060308224 = 96176^2 + 105168^2 .

It is a super-2 number, since 2×203101312002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170932 + ... + 264268.

Almost surely, 220310131200 is an apocalyptic number.

20310131200 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 20310131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26640251946).

20310131200 is an abundant number, since it is smaller than the sum of its proper divisors (32970372692).

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

20310131200 is an equidigital number, since it uses as much as digits as its factorization.

20310131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93382 (or 93361 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20310131200 its reverse (213101302), we get a palindrome (20523232502).

The spelling of 20310131200 in words is "twenty billion, three hundred ten million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 512 544 640 680 800 850 1088 1280 1360 1600 1700 2176 2560 2720 3200 3400 4352 5440 6400 6800 8704 10880 12800 13600 21760 27200 43520 54400 93337 108800 186674 217600 373348 466685 746696 933370 1493392 1586729 1866740 2333425 2986784 3173458 3733480 4666850 5973568 6346916 7466960 7933645 9333700 11947136 12693832 14933920 15867290 18667400 23894272 25387664 29867840 31734580 37334800 39668225 47788544 50775328 59735680 63469160 74669600 79336450 101550656 119471360 126938320 149339200 158672900 203101312 238942720 253876640 298678400 317345800 406202624 507753280 597356800 634691600 812405248 1015506560 1194713600 1269383200 2031013120 2538766400 4062026240 5077532800 10155065600 20310131200