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6101315220 = 2235711132931113
BaseRepresentation
bin1011010111010101…
…01010111010010100
3120202012200221000210
411223222222322110
544443414041340
62445232205420
7304124216010
oct55352527224
916665627023
106101315220
112651040480
121223399870
137630800c0
1441c463540
1525a99c180
hex16baaae94

6101315220 has 768 divisors, whose sum is σ = 24710676480. Its totient is φ = 1083801600.

The previous prime is 6101315201. The next prime is 6101315239. The reversal of 6101315220 is 225131016.

It is an interprime number because it is at equal distance from previous prime (6101315201) and next prime (6101315239).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53993884 + ... + 53993996.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 26101315220 is an apocalyptic number.

6101315220 is a gapful number since it is divisible by the number (60) 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 6101315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355338240).

6101315220 is an abundant number, since it is smaller than the sum of its proper divisors (18609361260).

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

6101315220 is a wasteful number, since it uses less digits than its factorization.

6101315220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6101315220 is about 78110.9161385270. The cubic root of 6101315220 is about 1827.2914453260.

Adding to 6101315220 its reverse (225131016), we get a palindrome (6326446236).

The spelling of 6101315220 in words is "six billion, one hundred one million, three hundred fifteen thousand, two hundred twenty".