Search a number
-
+
122033002200 = 23352631322327
BaseRepresentation
bin111000110100110111…
…0111101011011011000
3102122222200121211020020
41301221232331123120
53444410422032300
6132021114430440
711550043255344
oct1615156753330
9378880554206
10122033002200
11478324a282a
121b798732420
13b67a448055
145c99352624
1532936d68a0
hex1c69bbd6d8

122033002200 has 96 divisors (see below), whose sum is σ = 378903010560. Its totient is φ = 32490460800.

The previous prime is 122033002199. The next prime is 122033002237. The reversal of 122033002200 is 2200330221.

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 122033002200.

It is a congruent number.

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, 217437 + ... + 539763.

It is an arithmetic number, because the mean of its divisors is an integer number (3946906360).

Almost surely, 2122033002200 is an apocalyptic number.

122033002200 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 122033002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189451505280).

122033002200 is an abundant number, since it is smaller than the sum of its proper divisors (256870008360).

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

122033002200 is a wasteful number, since it uses less digits than its factorization.

122033002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322977 (or 322968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 122033002200 its reverse (2200330221), we get a palindrome (124233332421).

The spelling of 122033002200 in words is "one hundred twenty-two billion, thirty-three million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 631 1262 1893 2524 3155 3786 5048 6310 7572 9465 12620 15144 15775 18930 25240 31550 37860 47325 63100 75720 94650 126200 189300 322327 378600 644654 966981 1289308 1611635 1933962 2578616 3223270 3867924 4834905 6446540 7735848 8058175 9669810 12893080 16116350 19339620 24174525 32232700 38679240 48349050 64465400 96698100 193396200 203388337 406776674 610165011 813553348 1016941685 1220330022 1627106696 2033883370 2440660044 3050825055 4067766740 4881320088 5084708425 6101650110 8135533480 10169416850 12203300220 15254125275 20338833700 24406600440 30508250550 40677667400 61016501100 122033002200