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100134125300 = 2252111093732239
BaseRepresentation
bin101110101000001110…
…1010111111011110100
3100120110112000121120102
41131100131113323310
53120033314002200
6114000113453232
710143263010236
oct1352035277364
9316415017512
10100134125300
1139515115460
12174a6871218
13959a540b21
144bbcbb6256
152910dd06d5
hex1750757ef4

100134125300 has 144 divisors (see below), whose sum is σ = 239967974400. Its totient is φ = 35965555200.

The previous prime is 100134125293. The next prime is 100134125321. The reversal of 100134125300 is 3521431001.

It is a super-2 number, since 2×1001341253002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 44721581 + ... + 44723819.

Almost surely, 2100134125300 is an apocalyptic number.

100134125300 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 100134125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119983987200).

100134125300 is an abundant number, since it is smaller than the sum of its proper divisors (139833849100).

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

100134125300 is a wasteful number, since it uses less digits than its factorization.

100134125300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 100134125300 its reverse (3521431001), we get a palindrome (103655556301).

The spelling of 100134125300 in words is "one hundred billion, one hundred thirty-four million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 373 436 545 550 746 1090 1100 1199 1492 1865 2180 2239 2398 2725 3730 4103 4478 4796 5450 5995 7460 8206 8956 9325 10900 11195 11990 16412 18650 20515 22390 23980 24629 29975 37300 40657 41030 44780 49258 55975 59950 81314 82060 98516 102575 111950 119900 123145 162628 203285 205150 223900 244051 246290 406570 410300 447227 488102 492580 615725 813140 835147 894454 976204 1016425 1220255 1231450 1670294 1788908 2032850 2236135 2440510 2462900 2684561 3340588 4065700 4175735 4472270 4881020 5369122 6101275 8351470 8944540 9186617 10738244 11180675 12202550 13422805 16702940 18373234 20878675 22361350 24405100 26845610 36746468 41757350 44722700 45933085 53691220 67114025 83514700 91031023 91866170 134228050 182062046 183732340 229665425 268456100 364124092 455155115 459330850 910310230 918661700 1001341253 1820620460 2002682506 2275775575 4005365012 4551551150 5006706265 9103102300 10013412530 20026825060 25033531325 50067062650 100134125300