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210102020120020 = 22572421509239469
BaseRepresentation
bin101111110001011000110000…
…010001101001110111010100
31000112220120001000201101100111
4233301120300101221313110
5210014302414122320040
62022503311403452404
762153240630461300
oct5761306021516724
91015816030641314
10210102020120020
1160a43848011546
121b693219527104
1390306c65c7112
1439c4dc61c8d00
151945380755dea
hexbf1630469dd4

210102020120020 has 72 divisors (see below), whose sum is σ = 514468340877960. Its totient is φ = 71863873724160.

The previous prime is 210102020120011. The next prime is 210102020120039. The reversal of 210102020120020 is 20021020201012.

It is a happy number.

210102020120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 572573702596 + 209529446417424 = 756686^2 + 14475132^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254207155 + ... + 255032314.

It is an arithmetic number, because the mean of its divisors is an integer number (7145393623305).

Almost surely, 2210102020120020 is an apocalyptic number.

210102020120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210102020120020 is an abundant number, since it is smaller than the sum of its proper divisors (304366320757940).

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

210102020120020 is a wasteful number, since it uses less digits than its factorization.

210102020120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509239913 (or 509239904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210102020120020 its reverse (20021020201012), we get a palindrome (230123040321032).

The spelling of 210102020120020 in words is "two hundred ten trillion, one hundred two billion, twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 421 490 842 980 1684 2105 2947 4210 5894 8420 11788 14735 20629 29470 41258 58940 82516 103145 206290 412580 509239469 1018478938 2036957876 2546197345 3564676283 5092394690 7129352566 10184789380 14258705132 17823381415 24952733981 35646762830 49905467962 71293525660 99810935924 124763669905 214389816449 249527339810 428779632898 499054679620 857559265796 1071949082245 1500728715143 2143898164490 3001457430286 4287796328980 6002914860572 7503643575715 10505101006001 15007287151430 21010202012002 30014574302860 42020404024004 52525505030005 105051010060010 210102020120020