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210002002000120 = 23511616817737833
BaseRepresentation
bin101111101111111011100110…
…101110110011100011111000
31000112112222212120222110021101
4233233323212232303203320
5210011133100003000440
62022345330552221144
762143100243464141
oct5757734656634370
91015488776873241
10210002002000120
1160a0539242a720
121b67796569a7b4
139024147111c55
1439c02189acac8
151942979b3c69a
hexbefee6bb38f8

210002002000120 has 64 divisors (see below), whose sum is σ = 515467882931040. Its totient is φ = 76363116441600.

The previous prime is 210002002000097. The next prime is 210002002000121. The reversal of 210002002000120 is 21000200200012.

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

It is a junction number, because it is equal to n+sod(n) for n = 210002002000097 and 210002002000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002002000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23270724 + ... + 31008556.

Almost surely, 2210002002000120 is an apocalyptic number.

210002002000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002002000120 is an abundant number, since it is smaller than the sum of its proper divisors (305465880930920).

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

210002002000120 is a wasteful number, since it uses less digits than its factorization.

210002002000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799536 (or 7799532 counting only the distinct ones).

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

210002002000120 divided by its sum of digits (10) gives a palindrome (21000200200012).

Adding to 210002002000120 its reverse (21000200200012), we get a palindrome (231002202200132).

The spelling of 210002002000120 in words is "two hundred ten trillion, two billion, two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 61681 123362 246724 308405 493448 616810 678491 1233620 1356982 2467240 2713964 3392455 5427928 6784910 7737833 13569820 15475666 27139640 30951332 38689165 61902664 77378330 85116163 154756660 170232326 309513320 340464652 425580815 680929304 851161630 1702323260 3404646520 477277277273 954554554546 1909109109092 2386386386365 3818218218184 4772772772730 5250050050003 9545545545460 10500100100006 19091091090920 21000200200012 26250250250015 42000400400024 52500500500030 105001001000060 210002002000120