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113011103232 = 293329327901
BaseRepresentation
bin110100100111111111…
…1001001011000000000
3101210200221022212111000
41221033333021120000
53322421320300412
6123525552052000
711110343346036
oct1511777113000
9353627285430
10113011103232
1143a22904585
1219a9b234000
13a87029b1b1
14568107a556
152e166314dc
hex1a4ffc9600

113011103232 has 160 divisors (see below), whose sum is σ = 335674452960. Its totient is φ = 37540454400.

The previous prime is 113011103207. The next prime is 113011103243. The reversal of 113011103232 is 232301110311.

113011103232 is digitally balanced in base 3, because in such base 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 15 ways as a sum of consecutive naturals, for example, 4036482 + ... + 4064382.

It is an arithmetic number, because the mean of its divisors is an integer number (2097965331).

Almost surely, 2113011103232 is an apocalyptic number.

113011103232 is a gapful number since it is divisible by the number (12) 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 113011103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167837226480).

113011103232 is an abundant number, since it is smaller than the sum of its proper divisors (222663349728).

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

113011103232 is an equidigital number, since it uses as much as digits as its factorization.

113011103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28221 (or 28199 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113011103232 its reverse (232301110311), we get a palindrome (345312213543).

The spelling of 113011103232 in words is "one hundred thirteen billion, eleven million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 293 384 432 512 576 586 768 864 879 1152 1172 1536 1728 1758 2304 2344 2637 3456 3516 4608 4688 5274 6912 7032 7911 9376 10548 13824 14064 15822 18752 21096 27901 28128 31644 37504 42192 55802 56256 63288 75008 83703 84384 111604 112512 126576 150016 167406 168768 223208 225024 251109 253152 334812 337536 446416 450048 502218 506304 669624 675072 753327 892832 1004436 1012608 1339248 1350144 1506654 1785664 2008872 2025216 2678496 3013308 3571328 4017744 4050432 5356992 6026616 7142656 8035488 8174993 10713984 12053232 14285312 16070976 16349986 21427968 24106464 24524979 32141952 32699972 42855936 48212928 49049958 64283904 65399944 73574937 96425856 98099916 128567808 130799888 147149874 192851712 196199832 220724811 261599776 294299748 385703424 392399664 441449622 523199552 588599496 784799328 882899244 1046399104 1177198992 1569598656 1765798488 2092798208 2354397984 3139197312 3531596976 4185596416 4708795968 6278394624 7063193952 9417591936 12556789248 14126387904 18835183872 28252775808 37670367744 56505551616 113011103232