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113016212364 = 2231121713932939
BaseRepresentation
bin110100101000001001…
…0101000101110001100
3101210201021221102220010
41221100102220232030
53322424122243424
6123530253353220
711110434645336
oct1512022505614
9353637842803
10113016212364
1143a25784100
1219aa0a98810
13a871369853
145681a0a456
152e16ce0229
hex1a504a8b8c

113016212364 has 144 divisors (see below), whose sum is σ = 309124771200. Its totient is φ = 31999925760.

The previous prime is 113016212363. The next prime is 113016212371. The reversal of 113016212364 is 463212610311.

113016212364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (113016212363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3414607 + ... + 3447545.

It is an arithmetic number, because the mean of its divisors is an integer number (2146699800).

Almost surely, 2113016212364 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 113016212364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154562385600).

113016212364 is an abundant number, since it is smaller than the sum of its proper divisors (196108558836).

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

113016212364 is a wasteful number, since it uses less digits than its factorization.

113016212364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33124 (or 33111 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 113016212364 its reverse (463212610311), we get a palindrome (576228822675).

The spelling of 113016212364 in words is "one hundred thirteen billion, sixteen million, two hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 139 187 204 242 278 363 374 417 484 556 561 726 748 834 1122 1452 1529 1668 2057 2244 2363 3058 4114 4587 4726 6116 6171 7089 8228 9174 9452 12342 14178 16819 18348 24684 25993 28356 32939 33638 50457 51986 65878 67276 77979 98817 100914 103972 131756 155958 197634 201828 285923 311916 362329 395268 559963 571846 724658 857769 1086987 1119926 1143692 1449316 1679889 1715538 2173974 2239852 3359778 3431076 3985619 4347948 4578521 6159593 6719556 7971238 9157042 11956857 12319186 13735563 15942476 18314084 18478779 23913714 24638372 27471126 36957558 47827428 50363731 54942252 67755523 73915116 77834857 100727462 135511046 151091193 155669714 201454924 203266569 233504571 271022092 302182386 311339428 406533138 467009142 554001041 604364772 813066276 856183427 934018284 1108002082 1662003123 1712366854 2216004164 2568550281 3324006246 3424733708 5137100562 6648012492 9418017697 10274201124 18836035394 28254053091 37672070788 56508106182 113016212364