Search a number
-
+
1221020102000 = 24531657368443
BaseRepresentation
bin10001110001001010011…
…110000010110101110000
311022201122222201221002202
4101301022132002311300
5130001122121231000
62332532350202332
7154134005423156
oct21611236026560
94281588657082
101221020102000
11430917019916
121787851b33a8
138b1ac41a49a
14431520b13d6
1521b652a8dd5
hex11c4a782d70

1221020102000 has 80 divisors (see below), whose sum is σ = 2954216415072. Its totient is φ = 488111961600.

The previous prime is 1221020101999. The next prime is 1221020102017. The reversal of 1221020102000 is 2010201221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3129779 + ... + 3498221.

Almost surely, 21221020102000 is an apocalyptic number.

1221020102000 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 1221020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477108207536).

1221020102000 is an abundant number, since it is smaller than the sum of its proper divisors (1733196313072).

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

1221020102000 is a wasteful number, since it uses less digits than its factorization.

1221020102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370123 (or 370107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1221020102000 its reverse (2010201221), we get a palindrome (1223030303221).

It can be divided in two parts, 12 and 21020102000, that added together give a palindrome (21020102012).

The spelling of 1221020102000 in words is "one trillion, two hundred twenty-one billion, twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1657 2000 3314 6628 8285 13256 16570 26512 33140 41425 66280 82850 132560 165700 207125 331400 368443 414250 662800 736886 828500 1473772 1657000 1842215 2947544 3314000 3684430 5895088 7368860 9211075 14737720 18422150 29475440 36844300 46055375 73688600 92110750 147377200 184221500 368443000 610510051 736886000 1221020102 2442040204 3052550255 4884080408 6105100510 9768160816 12210201020 15262751275 24420402040 30525502550 48840804080 61051005100 76313756375 122102010200 152627512750 244204020400 305255025500 610510051000 1221020102000