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2315130012 = 223513199643
BaseRepresentation
bin1000100111111110…
…0001010010011100
312222100022210100000
42021333201102130
514220133130022
61021421134300
7111241165116
oct21177412234
95870283300
102315130012
11a88915498
125473ba390
132ab841a20
1417d68a3b6
15d83ae6ac
hex89fe149c

2315130012 has 144 divisors (see below), whose sum is σ = 6880415360. Its totient is φ = 674785728.

The previous prime is 2315129987. The next prime is 2315130029. The reversal of 2315130012 is 2100315132.

2315130012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 235263 + ... + 244905.

Almost surely, 22315130012 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 2315130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440207680).

2315130012 is an abundant number, since it is smaller than the sum of its proper divisors (4565285348).

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

2315130012 is a wasteful number, since it uses less digits than its factorization.

2315130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2315130012 is about 48115.7979462047. The cubic root of 2315130012 is about 1322.8942485697.

Adding to 2315130012 its reverse (2100315132), we get a palindrome (4415445144).

The spelling of 2315130012 in words is "two billion, three hundred fifteen million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 243 247 324 342 351 468 486 494 513 684 702 741 972 988 1026 1053 1404 1482 1539 2052 2106 2223 2964 3078 3159 4212 4446 4617 6156 6318 6669 8892 9234 9643 12636 13338 18468 19286 20007 26676 28929 38572 40014 57858 60021 80028 86787 115716 120042 125359 173574 183217 240084 250718 260361 347148 366434 376077 501436 520722 549651 732868 752154 781083 1041444 1099302 1128231 1504308 1562166 1648953 2198604 2256462 2343249 2381821 3124332 3297906 3384693 4512924 4686498 4763642 4946859 6595812 6769386 7145463 9372996 9527284 9893718 10154079 13538772 14290926 14840577 19787436 20308158 21436389 28581852 29681154 30462237 40616316 42872778 44521731 59362308 60924474 64309167 85745556 89043462 121848948 128618334 178086924 192927501 257236668 385855002 578782503 771710004 1157565006 2315130012