Search a number
-
+
112202002000 = 2453119375443
BaseRepresentation
bin110100001111111000…
…0101010111001010000
3101201121112212021020201
41220133300222321100
53314242203031000
6123313410144544
711051320165234
oct1503760527120
9351545767221
10112202002000
1143648117880
12198b4282154
13a77177c87a
1456058225c4
152dba5ac96a
hex1a1fc2ae50

112202002000 has 160 divisors (see below), whose sum is σ = 296338783104. Its totient is φ = 40749696000.

The previous prime is 112202001997. The next prime is 112202002019. The reversal of 112202002000 is 200202211.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 20611279 + ... + 20616721.

Almost surely, 2112202002000 is an apocalyptic number.

112202002000 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 112202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148169391552).

112202002000 is an abundant number, since it is smaller than the sum of its proper divisors (184136781104).

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

112202002000 is a wasteful number, since it uses less digits than its factorization.

112202002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 112202002000 its reverse (200202211), we get a palindrome (112402204211).

The spelling of 112202002000 in words is "one hundred twelve billion, two hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 937 1000 1100 1375 1874 2000 2200 2750 3748 4400 4685 5443 5500 7496 9370 10307 10886 11000 14992 18740 20614 21772 22000 23425 27215 37480 41228 43544 46850 51535 54430 59873 74960 82456 87088 93700 103070 108860 117125 119746 136075 164912 187400 206140 217720 234250 239492 257675 272150 299365 374800 412280 435440 468500 478984 515350 544300 598730 680375 824560 937000 957968 1030700 1088600 1197460 1288375 1360750 1496825 1874000 2061400 2177200 2394920 2576750 2721500 2993650 4122800 4789840 5100091 5153500 5443000 5987300 7484125 10200182 10307000 10886000 11974600 14968250 20400364 20614000 23949200 25500455 29936500 40800728 51000910 56101001 59873000 81601456 102001820 112202002 119746000 127502275 204003640 224404004 255004550 280505005 408007280 448808008 510009100 561010010 637511375 897616016 1020018200 1122020020 1275022750 1402525025 2040036400 2244040040 2550045500 2805050050 4488080080 5100091000 5610100100 7012625125 10200182000 11220200200 14025250250 22440400400 28050500500 56101001000 112202002000