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20002010212000 = 255317217302777
BaseRepresentation
bin1001000110001000101001…
…01101101010011010100000
32121211011200111000212010001
410203010110231222122200
510110203104103241000
6110312444023545344
74133045313365155
oct443042455523240
977734614025101
1020002010212000
11641189434a073
1222b06348bb254
13b212488c52ab
144d216121422c
1524a4715b446a
hex123114b6a6a0

20002010212000 has 144 divisors (see below), whose sum is σ = 52205872570488. Its totient is φ = 7530168115200.

The previous prime is 20002010211973. The next prime is 20002010212007. The reversal of 20002010212000 is 21201020002.

It can be written as a sum of positive squares in 12 ways, for example, as 95029159824 + 19906981052176 = 308268^2 + 4461724^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20002010212007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7495389 + ... + 9807388.

Almost surely, 220002010212000 is an apocalyptic number.

20002010212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002010212000 is an abundant number, since it is smaller than the sum of its proper divisors (32203862358488).

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

20002010212000 is a wasteful number, since it uses less digits than its factorization.

20002010212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17302836 (or 17302801 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20002010212000 its reverse (21201020002), we get a palindrome (20023211232002).

The spelling of 20002010212000 in words is "twenty trillion, two billion, ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 289 340 400 425 500 544 578 680 800 850 1000 1156 1360 1445 1700 2000 2125 2312 2720 2890 3400 4000 4250 4624 5780 6800 7225 8500 9248 11560 13600 14450 17000 23120 28900 34000 36125 46240 57800 68000 72250 115600 144500 231200 289000 578000 1156000 17302777 34605554 69211108 86513885 138422216 173027770 276844432 294147209 346055540 432569425 553688864 588294418 692111080 865138850 1176588836 1384222160 1470736045 1730277700 2162847125 2353177672 2768444320 2941472090 3460555400 4325694250 4706355344 5000502553 5882944180 6921110800 7353680225 8651388500 9412710688 10001005106 11765888360 13842221600 14707360450 17302777000 20002010212 23531776720 25002512765 29414720900 34605554000 36768401125 40004020424 47063553440 50005025530 58829441800 69211108000 73536802250 80008040848 100010051060 117658883600 125012563825 147073604500 160016081696 200020102120 235317767200 250025127650 294147209000 400040204240 500050255300 588294418000 625062819125 800080408480 1000100510600 1176588836000 1250125638250 2000201021200 2500251276500 4000402042400 5000502553000 10001005106000 20002010212000