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220010012112 = 24311538988337
BaseRepresentation
bin1100110011100110011…
…1100101110111010000
3210000212212122121210010
43030321213211313100
512101040030341422
6245023214034520
721616024150512
oct3147147456720
9700785577703
10220010012112
118533aa094a0
1236780aa8a40
1317992ac1027
14a911851bb2
155aca01bb0c
hex33399e5dd0

220010012112 has 160 divisors (see below), whose sum is σ = 638832147840. Its totient is φ = 64676085760.

The previous prime is 220010012063. The next prime is 220010012113. The reversal of 220010012112 is 211210010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010012113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2446408 + ... + 2534744.

It is an arithmetic number, because the mean of its divisors is an integer number (3992700924).

Almost surely, 2220010012112 is an apocalyptic number.

220010012112 is a gapful number since it is divisible by the number (22) 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 220010012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319416073920).

220010012112 is an abundant number, since it is smaller than the sum of its proper divisors (418822135728).

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

220010012112 is a wasteful number, since it uses less digits than its factorization.

220010012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88501 (or 88495 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220010012112 its reverse (211210010022), we get a palindrome (431220022134).

The spelling of 220010012112 in words is "two hundred twenty billion, ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 89 106 132 159 176 178 212 264 267 318 356 424 528 534 583 636 712 848 979 1068 1166 1272 1424 1749 1958 2136 2332 2544 2937 3498 3916 4272 4664 4717 5874 6996 7832 9328 9434 11748 13992 14151 15664 18868 23496 27984 28302 37736 46992 51887 56604 75472 88337 103774 113208 155661 176674 207548 226416 265011 311322 353348 415096 530022 622644 706696 830192 971707 1060044 1245288 1413392 1943414 2120088 2490576 2915121 3886828 4240176 4681861 5830242 7773656 7861993 9363722 11660484 14045583 15547312 15723986 18727444 23320968 23585979 28091166 31447972 37454888 46641936 47171958 51500471 56182332 62895944 74909776 86481923 94343916 103000942 112364664 125791888 154501413 172963846 188687832 206001884 224729328 259445769 309002826 345927692 377375664 412003768 416685629 518891538 618005652 691855384 824007536 833371258 1037783076 1236011304 1250056887 1383710768 1666742516 2075566152 2472022608 2500113774 3333485032 4151132304 4583541919 5000227548 6666970064 9167083838 10000455096 13750625757 18334167676 20000910192 27501251514 36668335352 55002503028 73336670704 110005006056 220010012112