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201310013300220 = 223251153107139128981
BaseRepresentation
bin101101110001011100100011…
…110101010001110111111100
3222101210001022221202212101200
4231301130203311101313330
5202341230401401101340
61552052313212535500
760255111536534256
oct5561344365216774
9871701287685350
10201310013300220
1159164108404170
121a6b3290181590
1388435b6a4c526
14379d656dd4cd6
1518418070ed330
hexb71723d51dfc

201310013300220 has 576 divisors, whose sum is σ = 689999135454720. Its totient is φ = 47092517222400.

The previous prime is 201310013300189. The next prime is 201310013300257. The reversal of 201310013300220 is 22003310013102.

201310013300220 is a `hidden beast` number, since 2 + 0 + 1 + 310 + 0 + 1 + 330 + 0 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201310013300193 and 201310013300202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1560708130 + ... + 1560837110.

It is an arithmetic number, because the mean of its divisors is an integer number (1197915165720).

Almost surely, 2201310013300220 is an apocalyptic number.

201310013300220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201310013300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344999567727360).

201310013300220 is an abundant number, since it is smaller than the sum of its proper divisors (488689122154500).

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

201310013300220 is a wasteful number, since it uses less digits than its factorization.

201310013300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129306 (or 129301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201310013300220 its reverse (22003310013102), we get a palindrome (223313323313322).

The spelling of 201310013300220 in words is "two hundred one trillion, three hundred ten billion, thirteen million, three hundred thousand, two hundred twenty".