Search a number
-
+
122110121002100 = 225271159326742761
BaseRepresentation
bin11011110000111011111010…
…011000101100010001110100
3121000100121120021201101221212
4123300323322120230101310
5112001123011434031400
61111412340513100552
734502110426566410
oct3360737230542164
9530317507641855
10122110121002100
11359a967a9a0840
1211841914557758
135319c20275cca
142222238bddd40
15e1b57017d335
hex6f0efa62c474

122110121002100 has 144 divisors (see below), whose sum is σ = 330920499482496. Its totient is φ = 37996113408000.

The previous prime is 122110121002099. The next prime is 122110121002151. The reversal of 122110121002100 is 1200121011221.

It is a super-2 number, since 2×1221101210021002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 8805281 + ... + 17937480.

It is an arithmetic number, because the mean of its divisors is an integer number (2298059024184).

Almost surely, 2122110121002100 is an apocalyptic number.

122110121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110121002100 is an abundant number, since it is smaller than the sum of its proper divisors (208810378480396).

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

122110121002100 is a wasteful number, since it uses less digits than its factorization.

122110121002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743386 (or 26743379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122110121002100 its reverse (1200121011221), we get a palindrome (123310242013321).

The spelling of 122110121002100 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 593 700 770 1100 1186 1540 1925 2372 2965 3850 4151 5930 6523 7700 8302 11860 13046 14825 16604 20755 26092 29650 32615 41510 45661 59300 65230 83020 91322 103775 130460 163075 182644 207550 228305 326150 415100 456610 652300 913220 1141525 2283050 4566100 26742761 53485522 106971044 133713805 187199327 267427610 294170371 374398654 534855220 588340742 668569025 748797308 935996635 1176681484 1337138050 1470851855 1871993270 2059192597 2674276100 2941703710 3743986540 4118385194 4679983175 5883407420 7354259275 8236770388 9359966350 10295962985 14708518550 15858457273 18719932700 20591925970 29417037100 31716914546 41183851940 51479814925 63433829092 79292286365 102959629850 111009200911 158584572730 174443030003 205919259700 222018401822 317169145460 348886060006 396461431825 444036803644 555046004555 697772120012 792922863650 872215150015 1110092009110 1221101210021 1585845727300 1744430300030 2220184018220 2442202420042 2775230022775 3488860600060 4361075750075 4884404840084 5550460045550 6105506050105 8722151500150 11100920091100 12211012100210 17444303000300 24422024200420 30527530250525 61055060501050 122110121002100