Search a number
-
+
1122221002000 = 24537619129497
BaseRepresentation
bin10000010101001001100…
…101011000110100010000
310222021122111210121221211
4100111021211120310100
5121341302034031000
62215312522425504
7144035453061640
oct20251145306420
93867574717854
101122221002000
113a2a2755475a
121615b1662294
1381a95658a77
143c45c736520
151e2d16d67ba
hex10549958d10

1122221002000 has 160 divisors (see below), whose sum is σ = 3106211546880. Its totient is φ = 384136934400.

The previous prime is 1122221001943. The next prime is 1122221002013. The reversal of 1122221002000 is 2001222211.

It is a happy 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, 8601252 + ... + 8730748.

It is an arithmetic number, because the mean of its divisors is an integer number (19413822168).

Almost surely, 21122221002000 is an apocalyptic number.

1122221002000 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 1122221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553105773440).

1122221002000 is an abundant number, since it is smaller than the sum of its proper divisors (1983990544880).

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

1122221002000 is a wasteful number, since it uses less digits than its factorization.

1122221002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130146 (or 130130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1122221002000 its reverse (2001222211), we get a palindrome (1124222224211).

The spelling of 1122221002000 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-one million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 619 700 875 1000 1238 1400 1750 2000 2476 2800 3095 3500 4333 4952 6190 7000 8666 9904 12380 14000 15475 17332 21665 24760 30950 34664 43330 49520 61900 69328 77375 86660 108325 123800 129497 154750 173320 216650 247600 258994 309500 346640 433300 517988 541625 619000 647485 866600 906479 1035976 1083250 1238000 1294970 1733200 1812958 2071952 2166500 2589940 3237425 3625916 4333000 4532395 5179880 6474850 7251832 8666000 9064790 10359760 12949700 14503664 16187125 18129580 22661975 25899400 32374250 36259160 45323950 51798800 64748500 72518320 80158643 90647900 113309875 129497000 160317286 181295800 226619750 258994000 320634572 362591600 400793215 453239500 561110501 641269144 801586430 906479000 1122221002 1282538288 1603172860 1812958000 2003966075 2244442004 2805552505 3206345720 4007932150 4488884008 5611105010 6412691440 8015864300 8977768016 10019830375 11222210020 14027762525 16031728600 20039660750 22444420040 28055525050 32063457200 40079321500 44888840080 56111050100 70138812625 80158643000 112222100200 140277625250 160317286000 224444200400 280555250500 561110501000 1122221002000