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1210112112 = 243115383521
BaseRepresentation
bin100100000100000…
…1101100001110000
310010100001001202010
41020020031201300
54434242041422
6320024522520
741662532436
oct11010154160
93110031663
101210112112
11571093160
12299320440
13163925091
14b6a02d56
1571386b0c
hex4820d870

1210112112 has 160 divisors (see below), whose sum is σ = 3523274496. Its totient is φ = 354764800.

The previous prime is 1210112093. The next prime is 1210112117. The reversal of 1210112112 is 2112110121.

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 (1210112117) 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, 2322412 + ... + 2322932.

Almost surely, 21210112112 is an apocalyptic number.

1210112112 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 1210112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761637248).

1210112112 is an abundant number, since it is smaller than the sum of its proper divisors (2313162384).

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

1210112112 is a wasteful number, since it uses less digits than its factorization.

1210112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1210112112 is about 34786.6657212214. The cubic root of 1210112112 is about 1065.6351467138.

Adding to 1210112112 its reverse (2112110121), we get a palindrome (3322222233).

The spelling of 1210112112 in words is "one billion, two hundred ten million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 83 88 106 132 159 166 176 212 249 264 318 332 424 498 521 528 583 636 664 848 913 996 1042 1166 1272 1328 1563 1749 1826 1992 2084 2332 2544 2739 3126 3498 3652 3984 4168 4399 4664 5478 5731 6252 6996 7304 8336 8798 9328 10956 11462 12504 13197 13992 14608 17193 17596 21912 22924 25008 26394 27613 27984 34386 35192 43243 43824 45848 48389 52788 55226 68772 70384 82839 86486 91696 96778 105576 110452 129729 137544 145167 165678 172972 193556 211152 220904 259458 275088 290334 303743 331356 345944 387112 441808 475673 518916 580668 607486 662712 691888 774224 911229 951346 1037832 1161336 1214972 1325424 1427019 1822458 1902692 2075664 2291879 2322672 2429944 2854038 3644916 3805384 4583758 4859888 5708076 6875637 7289832 7610768 9167516 11416152 13751274 14579664 18335032 22832304 25210669 27502548 36670064 50421338 55005096 75632007 100842676 110010192 151264014 201685352 302528028 403370704 605056056 1210112112