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112022120100 = 2235211179189643
BaseRepresentation
bin110100001010100001…
…0011110011010100100
3101201011000101022200010
41220111002132122210
53313410130320400
6123243502450220
711044004211222
oct1502502363244
9351130338603
10112022120100
1143565625950
1219863b93970
13a74341a687
1455c9999b12
152da98c9450
hex1a1509e6a4

112022120100 has 144 divisors (see below), whose sum is σ = 355559742720. Its totient is φ = 27005020800.

The previous prime is 112022120033. The next prime is 112022120113. The reversal of 112022120100 is 1021220211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495879 + ... + 685521.

It is an arithmetic number, because the mean of its divisors is an integer number (2469164880).

Almost surely, 2112022120100 is an apocalyptic number.

112022120100 is a gapful number since it is divisible by the number (10) 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 112022120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177779871360).

112022120100 is an abundant number, since it is smaller than the sum of its proper divisors (243537622620).

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

112022120100 is a wasteful number, since it uses less digits than its factorization.

112022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189850 (or 189843 counting only the distinct ones).

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

Adding to 112022120100 its reverse (1021220211), we get a palindrome (113043340311).

The spelling of 112022120100 in words is "one hundred twelve billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 179 220 275 300 330 358 537 550 660 716 825 895 1074 1100 1650 1790 1969 2148 2685 3300 3580 3938 4475 5370 5907 7876 8950 9845 10740 11814 13425 17900 19690 23628 26850 29535 39380 49225 53700 59070 98450 118140 147675 189643 196900 295350 379286 568929 590700 758572 948215 1137858 1896430 2086073 2275716 2844645 3792860 4172146 4741075 5689290 6258219 8344292 9482150 10430365 11378580 12516438 14223225 18964300 20860730 25032876 28446450 31291095 33946097 41721460 52151825 56892900 62582190 67892194 101838291 104303650 125164380 135784388 156455475 169730485 203676582 208607300 312910950 339460970 373407067 407353164 509191455 625821900 678921940 746814134 848652425 1018382910 1120221201 1493628268 1697304850 1867035335 2036765820 2240442402 2545957275 3394609700 3734070670 4480884804 5091914550 5601106005 7468141340 9335176675 10183829100 11202212010 18670353350 22404424020 28005530025 37340706700 56011060050 112022120100