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1312232020 = 2251129892311
BaseRepresentation
bin100111000110111…
…0001001001010100
310101110012021220221
41032031301021110
510141412411040
6334113404124
744342534221
oct11615611124
93343167827
101312232020
116137a2380
12307569644
1317bb2b768
14c63c6948
157a30974a
hex4e371254

1312232020 has 96 divisors (see below), whose sum is σ = 3146169600. Its totient is φ = 455347200.

The previous prime is 1312231997. The next prime is 1312232083. The reversal of 1312232020 is 202322131.

It is a junction number, because it is equal to n+sod(n) for n = 1312231985 and 1312232003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566665 + ... + 568975.

It is an arithmetic number, because the mean of its divisors is an integer number (32772600).

Almost surely, 21312232020 is an apocalyptic number.

1312232020 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 1312232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573084800).

1312232020 is an abundant number, since it is smaller than the sum of its proper divisors (1833937580).

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

1312232020 is a wasteful number, since it uses less digits than its factorization.

1312232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1312232020 is about 36224.7432012982. The cubic root of 1312232020 is about 1094.8052641197.

Adding to 1312232020 its reverse (202322131), we get a palindrome (1514554151).

It can be divided in two parts, 1312 and 232020, that added together give a palindrome (233332).

The spelling of 1312232020 in words is "one billion, three hundred twelve million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 89 110 116 145 178 220 290 319 356 445 580 638 890 979 1276 1595 1780 1958 2311 2581 3190 3916 4622 4895 5162 6380 9244 9790 10324 11555 12905 19580 23110 25421 25810 28391 46220 50842 51620 56782 67019 101684 113564 127105 134038 141955 205679 254210 268076 283910 335095 411358 508420 567820 670190 737209 822716 1028395 1340380 1474418 2056790 2262469 2948836 3686045 4113580 4524938 5964691 7372090 9049876 11312345 11929382 14744180 22624690 23858764 29823455 45249380 59646910 65611601 119293820 131223202 262446404 328058005 656116010 1312232020