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5101315128 = 23327213111227
BaseRepresentation
bin1001100000000111…
…11110010000111000
3111011112000122210100
410300003332100320
540421414041003
62202110515400
7240262314600
oct46003762070
914145018710
105101315128
112188617618
12ba4505b60
13633b42b80
14365715c00
151eccbaba3
hex1300fe438

5101315128 has 144 divisors (see below), whose sum is σ = 17308189080. Its totient is φ = 1345389696.

The previous prime is 5101315123. The next prime is 5101315181. The reversal of 5101315128 is 8215131015.

5101315128 is a `hidden beast` number, since 5 + 10 + 131 + 512 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101315123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9750 + ... + 101477.

Almost surely, 25101315128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101315128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654094540).

5101315128 is an abundant number, since it is smaller than the sum of its proper divisors (12206873952).

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

5101315128 is a wasteful number, since it uses less digits than its factorization.

5101315128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111266 (or 111252 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 5101315128 is about 71423.4914296410. The cubic root of 5101315128 is about 1721.4485642616.

The spelling of 5101315128 in words is "five billion, one hundred one million, three hundred fifteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 111227 222454 333681 444908 667362 778589 889816 1001043 1334724 1445951 1557178 2002086 2335767 2669448 2891902 3114356 4004172 4337853 4671534 5450123 5783804 6228712 7007301 8008344 8675706 9343068 10121657 10900246 11567608 13013559 14014602 16350369 17351412 18686136 20243314 21800492 26027118 28029204 30364971 32700738 34702824 40486628 43600984 49051107 52054236 56058408 60729942 65401476 70851599 80973256 91094913 98102214 104108472 121459884 130802952 141703198 182189826 196204428 212554797 242919768 283406396 364379652 392408856 425109594 566812792 637664391 728759304 850219188 1275328782 1700438376 2550657564 5101315128