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20311032100200 = 23352191177234137
BaseRepresentation
bin1001001111001000001111…
…10110100111010101101000
32122220201022202020021211120
410213210013312213111220
510130233443204201300
6111110432003255240
74164265211163552
oct447440766472550
978821282207746
1020311032100200
116520951127516
1223404b767a520
13b44425898b8a
145030b86284d2
1525350ad253a0
hex127907da7568

20311032100200 has 96 divisors (see below), whose sum is σ = 63293855362560. Its totient is φ = 5387917734400.

The previous prime is 20311032100199. The next prime is 20311032100207. The reversal of 20311032100200 is 200123011302.

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 20311032100200.

It is not an unprimeable number, because it can be changed into a prime (20311032100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88502469 + ... + 88731668.

It is an arithmetic number, because the mean of its divisors is an integer number (659310993360).

Almost surely, 220311032100200 is an apocalyptic number.

20311032100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20311032100200 is an abundant number, since it is smaller than the sum of its proper divisors (42982823262360).

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

20311032100200 is a wasteful number, since it uses less digits than its factorization.

20311032100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177234347 (or 177234338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20311032100200 its reverse (200123011302), we get a palindrome (20511155111502).

The spelling of 20311032100200 in words is "twenty trillion, three hundred eleven billion, thirty-two million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 573 600 764 955 1146 1528 1910 2292 2865 3820 4584 4775 5730 7640 9550 11460 14325 19100 22920 28650 38200 57300 114600 177234137 354468274 531702411 708936548 886170685 1063404822 1417873096 1772341370 2126809644 2658512055 3544682740 4253619288 4430853425 5317024110 7089365480 8861706850 10634048220 13292560275 17723413700 21268096440 26585120550 33851720167 35446827400 53170241100 67703440334 101555160501 106340482200 135406880668 169258600835 203110321002 270813761336 338517201670 406220642004 507775802505 677034403340 812441284008 846293004175 1015551605010 1354068806680 1692586008350 2031103210020 2538879012525 3385172016700 4062206420040 5077758025050 6770344033400 10155516050100 20311032100200