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1243211020 = 2251741101883
BaseRepresentation
bin100101000011001…
…1110010100001100
310012122022122220121
41022012132110030
510021230223040
6323210154324
742544055632
oct11206362414
93178278817
101243211020
1158883a927
122a84229a4
1316a74372c
14bb17b352
1574223c4a
hex4a19e50c

1243211020 has 96 divisors (see below), whose sum is σ = 2863014336. Its totient is φ = 451584000.

The previous prime is 1243211017. The next prime is 1243211033. The reversal of 1243211020 is 201123421.

It is a junction number, because it is equal to n+sod(n) for n = 1243210985 and 1243211003.

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 31 ways as a sum of consecutive naturals, for example, 1407499 + ... + 1408381.

It is an arithmetic number, because the mean of its divisors is an integer number (29823066).

Almost surely, 21243211020 is an apocalyptic number.

1243211020 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 1243211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431507168).

1243211020 is an abundant number, since it is smaller than the sum of its proper divisors (1619803316).

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

1243211020 is a wasteful number, since it uses less digits than its factorization.

1243211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1243211020 is about 35259.1976652901. The cubic root of 1243211020 is about 1075.2636151770.

Adding to 1243211020 its reverse (201123421), we get a palindrome (1444334441).

The spelling of 1243211020 in words is "one billion, two hundred forty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 101 164 170 202 205 340 404 410 505 697 820 883 1010 1394 1717 1766 2020 2788 3434 3485 3532 4141 4415 6868 6970 8282 8585 8830 13940 15011 16564 17170 17660 20705 30022 34340 36203 41410 60044 70397 72406 75055 82820 89183 140794 144812 150110 178366 181015 281588 300220 351985 356732 362030 445915 615451 703970 724060 891830 1230902 1407940 1516111 1783660 2461804 3032222 3077255 3656503 6064444 6154510 7313006 7580555 12309020 14626012 15161110 18282515 30322220 36565030 62160551 73130060 124321102 248642204 310802755 621605510 1243211020