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253210324101 = 37313737927737
BaseRepresentation
bin1110101111010010000…
…0101110110010000101
3220012120122220012212220
43223310200232302011
513122033320332401
6312153452002553
724202534146150
oct3536440566205
9805518805786
10253210324101
1198427699269
12410a7760459
131ab54203957
14c380d26c97
1568beaa6336
hex3af482ec85

253210324101 has 64 divisors (see below), whose sum is σ = 410149601280. Its totient is φ = 135875335680.

The previous prime is 253210324079. The next prime is 253210324207. The reversal of 253210324101 is 101423012352.

253210324101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253210324101 - 213 = 253210315909 is a prime.

It is a super-2 number, since 2×2532103241012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253210320101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9115105 + ... + 9142841.

It is an arithmetic number, because the mean of its divisors is an integer number (6408587520).

Almost surely, 2253210324101 is an apocalyptic number.

253210324101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253210324101 is a deficient number, since it is larger than the sum of its proper divisors (156939277179).

253210324101 is a wasteful number, since it uses less digits than its factorization.

253210324101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28194.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 253210324101 its reverse (101423012352), we get a palindrome (354633336453).

The spelling of 253210324101 in words is "two hundred fifty-three billion, two hundred ten million, three hundred twenty-four thousand, one hundred one".

Divisors: 1 3 7 21 31 37 93 111 217 259 379 651 777 1137 1147 2653 3441 7959 8029 11749 14023 24087 27737 35247 42069 82243 83211 98161 194159 246729 294483 434713 582477 859847 1026269 1304139 2579541 3042991 3078807 6018929 7183883 9128973 10512323 18056787 21551649 31536969 31814339 73586261 95443017 220758783 222700373 325882013 388955951 668101119 977646039 1166867853 2281174091 2722691657 6843522273 8168074971 12057634481 36172903443 84403441367 253210324101