Search a number
-
+
112211210110200 = 23352200479329011
BaseRepresentation
bin11001100000111000110101…
…010100011000010011111000
3112201022021202011110220211020
4121200320311110120103320
5104201432024242011300
61034353041314302440
732430664251400635
oct3140706524302370
9481267664426736
10112211210110200
1132832563848963
121070334b287a20
134a7c6194663a6
141d9d0a163718c
15ce8d0eda88a0
hex660e355184f8

112211210110200 has 96 divisors (see below), whose sum is σ = 347872140591360. Its totient is φ = 29921493513600.

The previous prime is 112211210110189. The next prime is 112211210110201. The reversal of 112211210110200 is 2011012112211.

It is a happy number.

It is a super-2 number, since 2×1122112101102002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112211210110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211210110201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7363695 + ... + 16692705.

It is an arithmetic number, because the mean of its divisors is an integer number (3623668131160).

Almost surely, 2112211210110200 is an apocalyptic number.

112211210110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211210110200 is an abundant number, since it is smaller than the sum of its proper divisors (235660930481160).

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

112211210110200 is a wasteful number, since it uses less digits than its factorization.

112211210110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349077 (or 9349068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112211210110200 its reverse (2011012112211), we get a palindrome (114222222222411).

The spelling of 112211210110200 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred ten million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20047 40094 60141 80188 100235 120282 160376 200470 240564 300705 400940 481128 501175 601410 801880 1002350 1202820 1503525 2004700 2405640 3007050 4009400 6014100 9329011 12028200 18658022 27987033 37316044 46645055 55974066 74632088 93290110 111948132 139935165 186580220 223896264 233225275 279870330 373160440 466450550 559740660 699675825 932901100 1119481320 1399351650 1865802200 2798703300 5597406600 187018683517 374037367034 561056050551 748074734068 935093417585 1122112101102 1496149468136 1870186835170 2244224202204 2805280252755 3740373670340 4488448404408 4675467087925 5610560505510 7480747340680 9350934175850 11221121011020 14026401263775 18701868351700 22442242022040 28052802527550 37403736703400 56105605055100 112211210110200