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112200032032 = 25112311376823
BaseRepresentation
bin110100001111110100…
…1001001111100100000
3101201121102011011221221
41220133221021330200
53314241202011112
6123313300024424
711051264352004
oct1503751117440
9351542134857
10112200032032
1143646aa1800
12198b3692114
13a77123ccca
14560546c704
152dba31de07
hex1a1fa49f20

112200032032 has 144 divisors (see below), whose sum is σ = 252499355136. Its totient is φ = 48987417600.

The previous prime is 112200032023. The next prime is 112200032033. The reversal of 112200032032 is 230230002211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112200031997 and 112200032015.

It is not an unprimeable number, because it can be changed into a prime (112200032033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16440973 + ... + 16447795.

It is an arithmetic number, because the mean of its divisors is an integer number (1753467744).

Almost surely, 2112200032032 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 112200032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126249677568).

112200032032 is an abundant number, since it is smaller than the sum of its proper divisors (140299323104).

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

112200032032 is a wasteful number, since it uses less digits than its factorization.

112200032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7023 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 112200032032 its reverse (230230002211), we get a palindrome (342430034243).

The spelling of 112200032032 in words is "one hundred twelve billion, two hundred million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 137 176 242 248 274 341 352 484 496 548 682 968 992 1096 1364 1507 1936 2192 2728 3014 3751 3872 4247 4384 5456 6028 6823 7502 8494 10912 12056 13646 15004 16577 16988 24112 27292 30008 33154 33976 46717 48224 54584 60016 66308 67952 75053 93434 109168 120032 132616 135904 150106 186868 211513 218336 265232 300212 373736 423026 513887 530464 600424 747472 825583 846052 934751 1027774 1200848 1494944 1651166 1692104 1869502 2055548 2326643 2401696 3302332 3384208 3739004 4111096 4653286 6604664 6768416 7478008 8222192 9306572 10282261 13209328 14956016 16444384 18613144 20564522 25593073 26418656 28977281 29912032 37226288 41129044 51186146 57954562 74452576 82258088 102372292 113104871 115909124 164516176 204744584 226209742 231818248 318750091 329032352 409489168 452419484 463636496 637500182 818978336 904838968 927272992 1275000364 1809677936 2550000728 3506251001 3619355872 5100001456 7012502002 10200002912 14025004004 28050008008 56100016016 112200032032