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2000010111200 = 255217314743857
BaseRepresentation
bin11101000110101001111…
…001000110100011100000
321002012101010212112220222
4131012221321012203200
5230232010042024300
64130443021422212
7264332054306543
oct35065171064340
97065333775828
102000010111200
11701221627552
1228374740a968
131167a569472a
146cb2dd6285a
1537058d28785
hex1d1a9e468e0

2000010111200 has 144 divisors (see below), whose sum is σ = 5336498692224. Its totient is φ = 728656281600.

The previous prime is 2000010111163. The next prime is 2000010111259. The reversal of 2000010111200 is 21110100002.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 1950329 + ... + 2793528.

It is an arithmetic number, because the mean of its divisors is an integer number (37059018696).

Almost surely, 22000010111200 is an apocalyptic number.

2000010111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000010111200 is an abundant number, since it is smaller than the sum of its proper divisors (3336488581024).

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

2000010111200 is a wasteful number, since it uses less digits than its factorization.

2000010111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743925 (or 4743912 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2000010111200 its reverse (21110100002), we get a palindrome (2021120211202).

The spelling of 2000010111200 in words is "two trillion, ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 68 80 85 100 124 136 155 160 170 200 248 272 310 340 400 425 496 527 544 620 680 775 800 850 992 1054 1240 1360 1550 1700 2108 2480 2635 2720 3100 3400 4216 4960 5270 6200 6800 8432 10540 12400 13175 13600 16864 21080 24800 26350 42160 52700 84320 105400 210800 421600 4743857 9487714 18975428 23719285 37950856 47438570 75901712 80645569 94877140 118596425 147059567 151803424 161291138 189754280 237192850 294119134 322582276 379508560 403227845 474385700 588238268 645164552 735297835 759017120 806455690 948771400 1176476536 1290329104 1470595670 1612911380 1897542800 2016139225 2352953072 2500012639 2580658208 2941191340 3225822760 3676489175 3795085600 4032278450 4705906144 5000025278 5882382680 6451645520 7352978350 8064556900 10000050556 11764765360 12500063195 12903291040 14705956700 16129113800 20000101112 23529530720 25000126390 29411913400 32258227600 40000202224 50000252780 58823826800 62500315975 64516455200 80000404448 100000505560 117647653600 125000631950 200001011120 250001263900 400002022240 500002527800 1000005055600 2000010111200