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1122002202020 = 2257311671548059
BaseRepresentation
bin10000010100111100100…
…010101110110110100100
310222021002021002102210212
4100110330202232312210
5121340330030431040
62215235105034552
7144030155234060
oct20247442566644
93867067072725
101122002202020
113a2924aa1027
12161550325a58
1381a5c21b61b
143c43b65caa0
151e2bc3b6d65
hex1053c8aeda4

1122002202020 has 96 divisors (see below), whose sum is σ = 2796316508160. Its totient is φ = 370047784320.

The previous prime is 1122002202017. The next prime is 1122002202023. The reversal of 1122002202020 is 202022002211.

It is an interprime number because it is at equal distance from previous prime (1122002202017) and next prime (1122002202023).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1122002201986 and 1122002202004.

It is not an unprimeable number, because it can be changed into a prime (1122002202023) by changing a digit.

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, 49250 + ... + 1498809.

It is an arithmetic number, because the mean of its divisors is an integer number (29128296960).

Almost surely, 21122002202020 is an apocalyptic number.

1122002202020 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 1122002202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398158254080).

1122002202020 is an abundant number, since it is smaller than the sum of its proper divisors (1674314306140).

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

1122002202020 is a wasteful number, since it uses less digits than its factorization.

1122002202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548273 (or 1548271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1122002202020 its reverse (202022002211), we get a palindrome (1324024204231).

The spelling of 1122002202020 in words is "one trillion, one hundred twenty-two billion, two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 167 217 310 334 434 620 668 835 868 1085 1169 1670 2170 2338 3340 4340 4676 5177 5845 10354 11690 20708 23380 25885 36239 51770 72478 103540 144956 181195 362390 724780 1548059 3096118 6192236 7740295 10836413 15480590 21672826 30961180 43345652 47989829 54182065 95979658 108364130 191959316 216728260 239949145 258525853 335928803 479898290 517051706 671857606 959796580 1034103412 1292629265 1343715212 1679644015 1809680971 2585258530 3359288030 3619361942 5170517060 6718576060 7238723884 8014301443 9048404855 16028602886 18096809710 32057205772 36193619420 40071507215 56100110101 80143014430 112200220202 160286028860 224400440404 280500550505 561001101010 1122002202020