Search a number
-
+
21221102012000 = 255311482297773
BaseRepresentation
bin1001101001100111011000…
…01111110100011001100000
32210010201101002022220011012
410310303230033310121200
510240141304103341000
6113044501212040052
74320113455614542
oct464635417643140
983121332286135
1021221102012000
116841900942070
122468960163028
13bac1ab67ca77
1453516d171692
1526c02241e735
hex134cec3f4660

21221102012000 has 96 divisors (see below), whose sum is σ = 56880270274464. Its totient is φ = 7716764352000.

The previous prime is 21221102011979. The next prime is 21221102012003. The reversal of 21221102012000 is 21020112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221102012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241104887 + ... + 241192886.

It is an arithmetic number, because the mean of its divisors is an integer number (592502815359).

Almost surely, 221221102012000 is an apocalyptic number.

21221102012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221102012000 is an abundant number, since it is smaller than the sum of its proper divisors (35659168262464).

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

21221102012000 is a wasteful number, since it uses less digits than its factorization.

21221102012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482297809 (or 482297791 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21221102012000 its reverse (21020112212), we get a palindrome (21242122124212).

The spelling of 21221102012000 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 482297773 964595546 1929191092 2411488865 3858382184 4822977730 5305275503 7716764368 9645955460 10610551006 12057444325 15433528736 19291910920 21221102012 24114888650 26526377515 38583821840 42442204024 48229777300 53052755030 60287221625 77167643680 84884408048 96459554600 106105510060 120574443250 132631887575 169768816096 192919109200 212211020120 241148886500 265263775150 385838218400 424422040240 482297773000 530527550300 663159437875 848844080480 964595546000 1061055100600 1326318875750 1929191092000 2122110201200 2652637751500 4244220402400 5305275503000 10610551006000 21221102012000