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10038804120 = 2333510498861
BaseRepresentation
bin10010101100101101…
…11111111010011000
3221220121210002101000
421112112333322120
5131024413212440
64340050225000
7503525266332
oct112626777230
927817702330
1010038804120
114291709134
121b41b85160
13c3ca558a7
146b3384452
153db4c5730
hex2565bfe98

10038804120 has 128 divisors (see below), whose sum is σ = 33498360000. Its totient is φ = 2674160640.

The previous prime is 10038804077. The next prime is 10038804131. The reversal of 10038804120 is 2140883001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128490 + ... + 1137350.

Almost surely, 210038804120 is an apocalyptic number.

10038804120 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 10038804120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749180000).

10038804120 is an abundant number, since it is smaller than the sum of its proper divisors (23459555880).

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

10038804120 is a wasteful number, since it uses less digits than its factorization.

10038804120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10038804120 in words is "ten billion, thirty-eight million, eight hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1049 1080 2098 3147 4196 5245 6294 8392 8861 9441 10490 12588 15735 17722 18882 20980 25176 26583 28323 31470 35444 37764 41960 44305 47205 53166 56646 62940 70888 75528 79749 88610 94410 106332 113292 125880 132915 141615 159498 177220 188820 212664 226584 239247 265830 283230 318996 354440 377640 398745 478494 531660 566460 637992 797490 956988 1063320 1132920 1196235 1594980 1913976 2392470 3189960 4784940 9295189 9569880 18590378 27885567 37180756 46475945 55771134 74361512 83656701 92951890 111542268 139427835 167313402 185903780 223084536 250970103 278855670 334626804 371807560 418283505 501940206 557711340 669253608 836567010 1003880412 1115422680 1254850515 1673134020 2007760824 2509701030 3346268040 5019402060 10038804120