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113343142300 = 225261197257367
BaseRepresentation
bin110100110001111000…
…1110001100110011100
3101211120002010012110021
41221203301301212130
53324111321023200
6124022532521524
711121514546003
oct1514361614634
9354502105407
10113343142300
1144083281433
1219b724802a4
13a8c400610b
1456b31cdc3a
152e3586d41a
hex1a63c7199c

113343142300 has 144 divisors (see below), whose sum is σ = 252920562048. Its totient is φ = 44074598400.

The previous prime is 113343142273. The next prime is 113343142321. The reversal of 113343142300 is 3241343311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308836717 + ... + 308837083.

It is an arithmetic number, because the mean of its divisors is an integer number (1756392792).

Almost surely, 2113343142300 is an apocalyptic number.

113343142300 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 113343142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126460281024).

113343142300 is an abundant number, since it is smaller than the sum of its proper divisors (139577419748).

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

113343142300 is a wasteful number, since it uses less digits than its factorization.

113343142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 113343142300 its reverse (3241343311), we get a palindrome (116584485611).

The spelling of 113343142300 in words is "one hundred thirteen billion, three hundred forty-three million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 197 244 257 305 367 394 514 610 734 788 985 1028 1220 1285 1468 1525 1835 1970 2570 3050 3670 3940 4925 5140 6100 6425 7340 9175 9850 12017 12850 15677 18350 19700 22387 24034 25700 31354 36700 44774 48068 50629 60085 62708 72299 78385 89548 94319 101258 111935 120170 144598 156770 188638 202516 223870 240340 253145 289196 300425 313540 361495 377276 391925 447740 471595 506290 559675 600850 722990 783850 943190 1012580 1119350 1201700 1265725 1445980 1567700 1807475 1886380 2238700 2357975 2531450 3088369 3614950 4410239 4715950 5062900 5753459 6176738 7229900 8820478 9431900 11506918 12353476 15441845 17640956 18580843 22051195 23013836 28767295 30883690 37161686 44102390 57534590 61767380 74323372 77209225 88204780 92904215 110255975 115069180 143836475 154418450 185808430 220511950 287672950 308836900 371616860 441023900 464521075 575345900 929042150 1133431423 1858084300 2266862846 4533725692 5667157115 11334314230 22668628460 28335785575 56671571150 113343142300