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210013202310012 = 223247376133002201
BaseRepresentation
bin101111110000000110000010…
…010100100110001101111100
31000112121001210011100011000200
4233300012002110212031330
5210011324014242410022
62022354422213523500
762143644634524633
oct5760060224461574
91015531704304020
10210013202310012
1160a0a10a742282
121b679b70643590
1390252106a195a
1439c099c30251a
151942dd3097bac
hexbf018252637c

210013202310012 has 72 divisors (see below), whose sum is σ = 542305912180032. Its totient is φ = 68496726144000.

The previous prime is 210013202309983. The next prime is 210013202310019.

210013202310012 is a `hidden beast` number, since 2 + 100 + 1 + 320 + 231 + 0 + 0 + 12 = 666.

210013202310012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210013202310019) 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, 10137489 + ... + 22864712.

It is an arithmetic number, because the mean of its divisors is an integer number (7532026558056).

Almost surely, 2210013202310012 is an apocalyptic number.

It is an amenable number.

210013202310012 is an abundant number, since it is smaller than the sum of its proper divisors (332292709870020).

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

210013202310012 is a wasteful number, since it uses less digits than its factorization.

210013202310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33006019 (or 33006014 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 21001320 and 2310012, that added together give a palindrome (23311332).

The spelling of 210013202310012 in words is "two hundred ten trillion, thirteen billion, two hundred two million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 3761 7522 11283 15044 22566 33849 45132 67698 135396 176767 353534 530301 707068 1060602 1590903 2121204 3181806 6363612 33002201 66004402 99006603 132008804 198013206 297019809 396026412 594039618 1188079236 1551103447 3102206894 4653310341 6204413788 9306620682 13959931023 18613241364 27919862046 55839724092 124121277961 248242555922 372363833883 496485111844 744727667766 1117091501649 1489455335532 2234183003298 4468366006596 5833700064167 11667400128334 17501100192501 23334800256668 35002200385002 52503300577503 70004400770004 105006601155006 210013202310012