Search a number
-
+
122003000 = 2353729601
BaseRepresentation
bin1110100010110…
…01111000111000
322111120101122122
413101121320320
5222213044000
620034540412
73011002610
oct721317070
9274511578
10122003000
116295a729
1234a37708
131c378832
14122bba40
15aa9e085
hex7459e38

122003000 has 128 divisors (see below), whose sum is σ = 338083200. Its totient is φ = 40320000.

The previous prime is 122002987. The next prime is 122003027. The reversal of 122003000 is 300221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202700 + ... + 203300.

It is an arithmetic number, because the mean of its divisors is an integer number (2641275).

Almost surely, 2122003000 is an apocalyptic number.

122003000 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 122003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169041600).

122003000 is an abundant number, since it is smaller than the sum of its proper divisors (216080200).

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

122003000 is a wasteful number, since it uses less digits than its factorization.

122003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 122003000 is about 11045.4968199715. The cubic root of 122003000 is about 495.9716316588.

Adding to 122003000 its reverse (300221), we get a palindrome (122303221).

The spelling of 122003000 in words is "one hundred twenty-two million, three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 601 700 725 812 875 1000 1015 1160 1202 1400 1450 1624 1750 2030 2404 2900 3005 3500 3625 4060 4207 4808 5075 5800 6010 7000 7250 8120 8414 10150 12020 14500 15025 16828 17429 20300 21035 24040 25375 29000 30050 33656 34858 40600 42070 50750 60100 69716 75125 84140 87145 101500 105175 120200 122003 139432 150250 168280 174290 203000 210350 244006 300500 348580 420700 435725 488012 525875 601000 610015 697160 841400 871450 976024 1051750 1220030 1742900 2103500 2178625 2440060 3050075 3485800 4207000 4357250 4880120 6100150 8714500 12200300 15250375 17429000 24400600 30500750 61001500 122003000