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220200001212020 = 22512722609261641
BaseRepresentation
bin110010000100010101001110…
…110110100000111001110100
31001212122220200200122211022012
4302010111032312200321310
5212330224100302241040
62100154252315423352
764244632206522134
oct6204251666407164
91055586620584265
10220200001212020
116418732909a155
122084429aa54b58
1395b3a03bc764b
143c53a4619aac4
151a6cd92538865
hexc8454eda0e74

220200001212020 has 72 divisors (see below), whose sum is σ = 466270204022280. Its totient is φ = 87352629073920.

The previous prime is 220200001212017. The next prime is 220200001212029. The reversal of 220200001212020 is 20212100002022.

It can be written as a sum of positive squares in 4 ways, for example, as 43041026240356 + 177158974971664 = 6560566^2 + 13310108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220200001211986 and 220200001212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200001212029) 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, 841480400 + ... + 841742040.

It is an arithmetic number, because the mean of its divisors is an integer number (6475975055865).

Almost surely, 2220200001212020 is an apocalyptic number.

220200001212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220200001212020 is an abundant number, since it is smaller than the sum of its proper divisors (246070202810260).

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

220200001212020 is a wasteful number, since it uses less digits than its factorization.

220200001212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264513 (or 264384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220200001212020 its reverse (20212100002022), we get a palindrome (240412101214042).

The spelling of 220200001212020 in words is "two hundred twenty trillion, two hundred billion, one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 2609 5218 10436 13045 16129 26090 32258 52180 64516 80645 161290 261641 322580 331343 523282 662686 1046564 1308205 1325372 1656715 2616410 3313430 5232820 6626860 33228407 42080561 66456814 84161122 132913628 166142035 168322244 210402805 332284070 420805610 664568140 682621369 841611220 1365242738 2730485476 3413106845 4220007689 6826213690 8440015378 13652427380 16880030756 21100038445 42200076890 84400153780 86692913863 173385827726 346771655452 433464569315 866929138630 1733858277260 11010000060601 22020000121202 44040000242404 55050000303005 110100000606010 220200001212020