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112122001110 = 235717161319471
BaseRepresentation
bin110100001101011111…
…1011111011011010110
3101201101222022210122210
41220122333133123112
53314111213013420
6123301431334250
711046326166420
oct1503277373326
9351358283583
10112122001110
1143606a45a39
1219891521386
13a75b01bc72
1455d8d59810
152db35589e0
hex1a1afdf6d6

112122001110 has 128 divisors (see below), whose sum is σ = 325843513344. Its totient is φ = 24104171520.

The previous prime is 112122001049. The next prime is 112122001163. The reversal of 112122001110 is 11100221211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5748675 + ... + 5768145.

It is an arithmetic number, because the mean of its divisors is an integer number (2545652448).

Almost surely, 2112122001110 is an apocalyptic number.

112122001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162921756672).

112122001110 is an abundant number, since it is smaller than the sum of its proper divisors (213721512234).

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

112122001110 is a wasteful number, since it uses less digits than its factorization.

112122001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21118.

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

Adding to 112122001110 its reverse (11100221211), we get a palindrome (123222222321).

The spelling of 112122001110 in words is "one hundred twelve billion, one hundred twenty-two million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1613 1785 3226 3570 4839 8065 9678 11291 16130 19471 22582 24195 27421 33873 38942 48390 54842 56455 58413 67746 82263 97355 112910 116826 136297 137105 164526 169365 191947 194710 272594 274210 292065 331007 338730 383894 408891 411315 575841 584130 662014 681485 817782 822630 959735 993021 1151682 1362970 1655035 1919470 1986042 2044455 2317049 2879205 3310070 4088910 4634098 4965105 5758410 6951147 9930210 11585245 13902294 23170490 31406723 34755735 62813446 69511470 94220169 157033615 188440338 219847061 314067230 439694122 471100845 533914291 659541183 942201690 1067828582 1099235305 1319082366 1601742873 2198470610 2669571455 3203485746 3297705915 3737400037 5339142910 6595411830 7474800074 8008714365 11212200111 16017428730 18687000185 22424400222 37374000370 56061000555 112122001110