Search a number
-
+
122463244000200 = 233521631252180409
BaseRepresentation
bin11011110110000100110010…
…001010000001101111001000
3121001121101001000221100100010
4123312010302022001233020
5112022414210431001300
61112242500532311520
734536451230546405
oct3366046212015710
9531541030840303
10122463244000200
113602540869a854
121189a2447725a0
135344307b625ac
1422353773352ac
15e2583b46ea50
hex6f6132281bc8

122463244000200 has 96 divisors (see below), whose sum is σ = 381965112266400. Its totient is φ = 32456516175360.

The previous prime is 122463244000189. The next prime is 122463244000241. The reversal of 122463244000200 is 2000442364221.

It is a super-2 number, since 2×1224632440002002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625992405 + ... + 626188004.

It is an arithmetic number, because the mean of its divisors is an integer number (3978803252775).

Almost surely, 2122463244000200 is an apocalyptic number.

122463244000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122463244000200 is an abundant number, since it is smaller than the sum of its proper divisors (259501868266200).

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

122463244000200 is a wasteful number, since it uses less digits than its factorization.

122463244000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252180591 (or 1252180582 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 122463244000200 its reverse (2000442364221), we get a palindrome (124463686364421).

The spelling of 122463244000200 in words is "one hundred twenty-two trillion, four hundred sixty-three billion, two hundred forty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 600 652 815 978 1304 1630 1956 2445 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 24450 32600 48900 97800 1252180409 2504360818 3756541227 5008721636 6260902045 7513082454 10017443272 12521804090 15026164908 18782706135 25043608180 30052329816 31304510225 37565412270 50087216360 62609020450 75130824540 93913530675 125218040900 150261649080 187827061350 204105406667 250436081800 375654122700 408210813334 612316220001 751308245400 816421626668 1020527033335 1224632440002 1632843253336 2041054066670 2449264880004 3061581100005 4082108133340 4898529760008 5102635166675 6123162200010 8164216266680 10205270333350 12246324400020 15307905500025 20410540666700 24492648800040 30615811000050 40821081333400 61231622000100 122463244000200