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1422411100 = 2252111319871
BaseRepresentation
bin101010011001000…
…0100010101011100
310200010111222012121
41110302010111130
510403114123400
6353051112324
750151203065
oct12462042534
93603458177
101422411100
1166aa06570
123384426a4
131988c7496
14d6ca756c
1584d2021a
hex54c8455c

1422411100 has 72 divisors (see below), whose sum is σ = 3393282816. Its totient is φ = 513240000.

The previous prime is 1422411077. The next prime is 1422411113. The reversal of 1422411100 is 11142241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139165 + ... + 149035.

It is an arithmetic number, because the mean of its divisors is an integer number (47128928).

Almost surely, 21422411100 is an apocalyptic number.

1422411100 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 1422411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696641408).

1422411100 is an abundant number, since it is smaller than the sum of its proper divisors (1970871716).

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

1422411100 is a wasteful number, since it uses less digits than its factorization.

1422411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10027 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1422411100 is about 37714.8657693488. The cubic root of 1422411100 is about 1124.6266678927.

Adding to 1422411100 its reverse (11142241), we get a palindrome (1433553341).

It can be divided in two parts, 142241 and 1100, that added together give a palindrome (143341).

The spelling of 1422411100 in words is "one billion, four hundred twenty-two million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 9871 13100 14410 19742 28820 36025 39484 49355 72050 98710 108581 144100 197420 217162 246775 434324 493550 542905 987100 1085810 1293101 2171620 2586202 2714525 5172404 5429050 6465505 10858100 12931010 14224111 25862020 28448222 32327525 56896444 64655050 71120555 129310100 142241110 284482220 355602775 711205550 1422411100