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2221003012020 = 22351320291403371
BaseRepresentation
bin100000010100011110000…
…110000111011110110100
321212022210112000002112120
4200110132012013132310
5242342103232341040
64420151550315540
7316314345053202
oct40243606073664
97768715002476
102221003012020
11786a16331861
122ba5414b8bb0
13131593cb12c0
14796d614a072
153cb902967d0
hex2051e1877b4

2221003012020 has 96 divisors (see below), whose sum is σ = 6700483816320. Its totient is φ = 546438597120.

The previous prime is 2221003011977. The next prime is 2221003012079. The reversal of 2221003012020 is 202103001222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880935 + ... + 2284305.

It is an arithmetic number, because the mean of its divisors is an integer number (69796706420).

Almost surely, 22221003012020 is an apocalyptic number.

2221003012020 is a gapful number since it is divisible by the number (20) 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 2221003012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350241908160).

2221003012020 is an abundant number, since it is smaller than the sum of its proper divisors (4479480804300).

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

2221003012020 is a wasteful number, since it uses less digits than its factorization.

2221003012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405425 (or 1405423 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2221003012020 its reverse (202103001222), we get a palindrome (2423106013242).

The spelling of 2221003012020 in words is "two trillion, two hundred twenty-one billion, three million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2029 4058 6087 8116 10145 12174 20290 24348 26377 30435 40580 52754 60870 79131 105508 121740 131885 158262 263770 316524 395655 527540 791310 1403371 1582620 2806742 4210113 5613484 7016855 8420226 14033710 16840452 18243823 21050565 28067420 36487646 42101130 54731469 72975292 84202260 91219115 109462938 182438230 218925876 273657345 364876460 547314690 1094629380 2847439759 5694879518 8542319277 11389759036 14237198795 17084638554 28474397590 34169277108 37016716867 42711596385 56948795180 74033433734 85423192770 111050150601 148066867468 170846385540 185083584335 222100301202 370167168670 444200602404 555250753005 740334337340 1110501506010 2221003012020