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1231040020 = 225719467991
BaseRepresentation
bin100100101100000…
…0010111000010100
310011210102022102211
41021120002320110
510010121240040
6322053243204
742335444650
oct11130027024
93153368384
101231040020
11581987651
122a4333504
13168071962
14b96cda60
157311c8ea
hex49602e14

1231040020 has 96 divisors (see below), whose sum is σ = 3119800320. Its totient is φ = 398597760.

The previous prime is 1231039973. The next prime is 1231040051. The reversal of 1231040020 is 200401321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241725 + ... + 1242715.

It is an arithmetic number, because the mean of its divisors is an integer number (32497920).

Almost surely, 21231040020 is an apocalyptic number.

1231040020 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 1231040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

1231040020 is an abundant number, since it is smaller than the sum of its proper divisors (1888760300).

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

1231040020 is a wasteful number, since it uses less digits than its factorization.

1231040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1231040020 is about 35086.1799003539. The cubic root of 1231040020 is about 1071.7431684516.

Adding to 1231040020 its reverse (200401321), we get a palindrome (1431441341).

The spelling of 1231040020 in words is "one billion, two hundred thirty-one million, forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 467 532 665 934 991 1330 1868 1982 2335 2660 3269 3964 4670 4955 6538 6937 8873 9340 9910 13076 13874 16345 17746 18829 19820 27748 32690 34685 35492 37658 44365 62111 65380 69370 75316 88730 94145 124222 131803 138740 177460 188290 248444 263606 310555 376580 462797 527212 621110 659015 925594 1242220 1318030 1851188 2313985 2636060 3239579 4627970 6479158 8793143 9255940 12958316 16197895 17586286 32395790 35172572 43965715 61552001 64791580 87931430 123104002 175862860 246208004 307760005 615520010 1231040020