Search a number
-
+
312202002301020 = 223451341573566131
BaseRepresentation
bin100011011111100100011000…
…1011100100000000001011100
31111221102012221022222210210000
41012333020301130200001130
5311410104200042113040
63023555341520414300
7122521564441643646
oct10677106134400134
91457365838883700
10312202002301020
1190528142233957
122b022a0aa77390
13105286a3bb5370
14571492c3cd896
1526161558bd130
hex11bf23172005c

312202002301020 has 240 divisors, whose sum is σ = 1054980897350688. Its totient is φ = 76831215275520.

The previous prime is 312202002301019. The next prime is 312202002301051. The reversal of 312202002301020 is 20103200202213.

312202002301020 is a `hidden beast` number, since 3 + 1 + 220 + 200 + 230 + 10 + 2 + 0 = 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 = 312202002300984 and 312202002301002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85763355 + ... + 89329485.

Almost surely, 2312202002301020 is an apocalyptic number.

312202002301020 is a gapful number since it is divisible by the number (30) 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 312202002301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527490448675344).

312202002301020 is an abundant number, since it is smaller than the sum of its proper divisors (742778895049668).

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

312202002301020 is a wasteful number, since it uses less digits than its factorization.

312202002301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570322 (or 3570311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312202002301020 its reverse (20103200202213), we get a palindrome (332305202503233).

The spelling of 312202002301020 in words is "three hundred twelve trillion, two hundred two billion, two million, three hundred one thousand, twenty".