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202400020545201 = 32397128943946533
BaseRepresentation
bin101110000001010011101101…
…010100111011111010110001
3222112122020211102201002020200
4232001103231110323322301
5203012110220224421301
61554245141423025413
760426630122333253
oct5601235524737261
9875566742632220
10202400020545201
1159544404049436
121a84a59143b269
1388c23174a5bbb
1437da2db2a3cd3
15185ed50672c86
hexb814ed53beb1

202400020545201 has 24 divisors (see below), whose sum is σ = 293319383321640. Its totient is φ = 134489044521216.

The previous prime is 202400020545199. The next prime is 202400020545209. The reversal of 202400020545201 is 102545020004202.

202400020545201 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 0 + 0 + 0 + 205 + 452 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49428267714576 + 152971752830625 = 7030524^2 + 12368175^2 .

It is not a de Polignac number, because 202400020545201 - 21 = 202400020545199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202400020545209) 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, 17367670 + ... + 26578863.

It is an arithmetic number, because the mean of its divisors is an integer number (12221640971735).

Almost surely, 2202400020545201 is an apocalyptic number.

It is an amenable number.

202400020545201 is a deficient number, since it is larger than the sum of its proper divisors (90919362776439).

202400020545201 is a wasteful number, since it uses less digits than its factorization.

202400020545201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43948225 (or 43948222 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 202400020545201 its reverse (102545020004202), we get a palindrome (304945040549403).

The spelling of 202400020545201 in words is "two hundred two trillion, four hundred billion, twenty million, five hundred forty-five thousand, two hundred one".

Divisors: 1 3 9 397 1191 1289 3573 3867 11601 511733 1535199 4605597 43946533 131839599 395518797 17446773601 52340320803 56647081037 157020962409 169941243111 509823729333 22488891171689 67466673515067 202400020545201