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110020120100 = 2252111094312129
BaseRepresentation
bin110011001110110110…
…1011100111000100100
3101111222111021011221222
41212131231130320210
53300310122320400
6122313104555512
710643254406432
oct1463555347044
9344874234858
10110020120100
11427285426a0
12193a5622b98
13a4b4722ba7
145479b3dd52
152cddc6e185
hex199db5ce24

110020120100 has 144 divisors (see below), whose sum is σ = 263570630400. Its totient is φ = 39529728000.

The previous prime is 110020120097. The next prime is 110020120127. The reversal of 110020120100 is 1021020011.

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, 51675836 + ... + 51677964.

It is an arithmetic number, because the mean of its divisors is an integer number (1830351600).

Almost surely, 2110020120100 is an apocalyptic number.

110020120100 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 110020120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131785315200).

110020120100 is an abundant number, since it is smaller than the sum of its proper divisors (153550510300).

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

110020120100 is a wasteful number, since it uses less digits than its factorization.

110020120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110020120100 its reverse (1021020011), we get a palindrome (111041140111).

The spelling of 110020120100 in words is "one hundred ten billion, twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 431 436 545 550 862 1090 1100 1199 1724 2129 2155 2180 2398 2725 4258 4310 4741 4796 5450 5995 8516 8620 9482 10645 10775 10900 11990 18964 21290 21550 23419 23705 23980 29975 42580 43100 46838 46979 47410 53225 59950 93676 93958 94820 106450 117095 118525 119900 187916 212900 232061 234190 234895 237050 464122 468380 469790 474100 516769 585475 917599 928244 939580 1033538 1160305 1170950 1174475 1835198 2067076 2320610 2341900 2348950 2552671 2583845 3670396 4587995 4641220 4697900 5105342 5167690 5801525 9175990 10093589 10210684 10335380 11603050 12763355 12919225 18351980 20187178 22939975 23206100 25526710 25838450 40374356 45879950 50467945 51053420 51676900 63816775 91759900 100018291 100935890 127633550 200036582 201871780 252339725 255267100 400073164 500091455 504679450 1000182910 1009358900 1100201201 2000365820 2200402402 2500457275 4400804804 5000914550 5501006005 10001829100 11002012010 22004024020 27505030025 55010060050 110020120100