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10141505500 = 225372894651
BaseRepresentation
bin10010111000111101…
…10001011111011100
3222011210000212011211
421130132301133130
5131232211134000
64354155354204
7506213242300
oct113436613734
928153025154
1010141505500
114334685205
121b70452964
13c58103b39
146c2c79d00
153e55107ba
hex25c7b17dc

10141505500 has 144 divisors (see below), whose sum is σ = 26060317920. Its totient is φ = 3437280000.

The previous prime is 10141505497. The next prime is 10141505587. The reversal of 10141505500 is 550514101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178175 + ... + 2182825.

It is an arithmetic number, because the mean of its divisors is an integer number (180974430).

Almost surely, 210141505500 is an apocalyptic number.

10141505500 is a gapful number since it is divisible by the number (10) 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 10141505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030158960).

10141505500 is an abundant number, since it is smaller than the sum of its proper divisors (15918812420).

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

10141505500 is a wasteful number, since it uses less digits than its factorization.

10141505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 10141505500 in words is "ten billion, one hundred forty-one million, five hundred five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 89 98 100 125 140 175 178 196 245 250 350 356 445 490 500 623 700 875 890 980 1225 1246 1750 1780 2225 2450 2492 3115 3500 4361 4450 4651 4900 6125 6230 8722 8900 9302 11125 12250 12460 15575 17444 18604 21805 22250 23255 24500 31150 32557 43610 44500 46510 62300 65114 77875 87220 93020 109025 116275 130228 155750 162785 218050 227899 232550 311500 325570 413939 436100 455798 465100 545125 581375 651140 813925 827878 911596 1090250 1139495 1162750 1627850 1655756 2069695 2180500 2278990 2325500 2897573 3255700 4069625 4139390 4557980 5697475 5795146 8139250 8278780 10348475 11394950 11590292 14487865 16278500 20283011 20696950 22789900 28487375 28975730 40566022 41393900 51742375 56974750 57951460 72439325 81132044 101415055 103484750 113949500 144878650 202830110 206969500 289757300 362196625 405660220 507075275 724393250 1014150550 1448786500 2028301100 2535376375 5070752750 10141505500