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113012422432 = 25721323241051
BaseRepresentation
bin110100101000000010…
…0001011011100100000
3101210201000210220002021
41221100010023130200
53322422140004212
6123530040231224
711110360512100
oct1512004133440
9353630726067
10113012422432
1143a23625728
1219a9b76b514
13a8706407a0
145681301200
152e167e2307
hex1a5010b720

113012422432 has 144 divisors (see below), whose sum is σ = 290847557952. Its totient is φ = 42764198400.

The previous prime is 113012422423. The next prime is 113012422459. The reversal of 113012422432 is 234224210311.

It is a junction number, because it is equal to n+sod(n) for n = 113012422397 and 113012422406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348307 + ... + 589357.

It is an arithmetic number, because the mean of its divisors is an integer number (2019774708).

Almost surely, 2113012422432 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 113012422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145423778976).

113012422432 is an abundant number, since it is smaller than the sum of its proper divisors (177835135520).

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

113012422432 is a wasteful number, since it uses less digits than its factorization.

113012422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241111 (or 241096 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 113012422432 its reverse (234224210311), we get a palindrome (347236632743).

The spelling of 113012422432 in words is "one hundred thirteen billion, twelve million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 49 52 56 91 92 98 104 112 161 182 184 196 208 224 299 322 364 368 392 416 598 637 644 728 736 784 1127 1196 1274 1288 1456 1568 2093 2254 2392 2548 2576 2912 4186 4508 4784 5096 5152 8372 9016 9568 10192 14651 16744 18032 20384 29302 33488 36064 58604 66976 117208 234416 241051 468832 482102 964204 1687357 1928408 3133663 3374714 3856816 5544173 6267326 6749428 7713632 11088346 11811499 12534652 13498856 21935641 22176692 23622998 25069304 26997712 38809211 43871282 44353384 47245996 50138608 53995424 72074249 77618422 87742564 88706768 94491992 100277216 144148498 153549487 155236844 175485128 177413536 188983984 271664477 288296996 307098974 310473688 350970256 377967968 504519743 543328954 576593992 614197948 620947376 701940512 1009039486 1086657908 1153187984 1228395896 1241894752 2018078972 2173315816 2306375968 2456791792 3531638201 4036157944 4346631632 4913583584 7063276402 8072315888 8693263264 14126552804 16144631776 28253105608 56506211216 113012422432