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113002010304 = 2634313799907
BaseRepresentation
bin110100100111101110…
…0011101011011000000
3101210200022012220022220
41221033130131123000
53322412003312204
6123525025131040
711110203145041
oct1511734353300
9353608186286
10113002010304
1143a18763967
1219a98189a80
13a86b436471
14567db908c8
152e159371d9
hex1a4f71d6c0

113002010304 has 112 divisors (see below), whose sum is σ = 308173819008. Its totient is φ = 36522436608.

The previous prime is 113002010293. The next prime is 113002010311. The reversal of 113002010304 is 403010200311.

It is a super-4 number, since 4×1130020103044 (a number of 45 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1081119 + ... + 1181025.

Almost surely, 2113002010304 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 113002010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154086909504).

113002010304 is an abundant number, since it is smaller than the sum of its proper divisors (195171808704).

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

113002010304 is a wasteful number, since it uses less digits than its factorization.

113002010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100102 (or 100092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113002010304 its reverse (403010200311), we get a palindrome (516012210615).

The spelling of 113002010304 in words is "one hundred thirteen billion, two million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 137 172 192 258 274 344 411 516 548 688 822 1032 1096 1376 1644 2064 2192 2752 3288 4128 4384 5891 6576 8256 8768 11782 13152 17673 23564 26304 35346 47128 70692 94256 99907 141384 188512 199814 282768 299721 377024 399628 565536 599442 799256 1131072 1198884 1598512 2397768 3197024 4296001 4795536 6394048 8592002 9591072 12888003 13687259 17184004 19182144 25776006 27374518 34368008 41061777 51552012 54749036 68736016 82123554 103104024 109498072 137472032 164247108 206208048 218996144 274944064 328494216 412416096 437992288 588552137 656988432 824832192 875984576 1177104274 1313976864 1765656411 2354208548 2627953728 3531312822 4708417096 7062625644 9416834192 14125251288 18833668384 28250502576 37667336768 56501005152 113002010304