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10403232314020 = 22571322132582947
BaseRepresentation
bin1001011101100011000011…
…1101110111001010100100
31100211112120010222012002021
42113120300331313022210
52330421304433022040
634043102352552524
72122415536432330
oct227306075671244
940745503865067
1010403232314020
113350a9347a817
121200271552744
135a603633a6c0
1427d73a6cc7c0
1513092a4be24a
hex97630f772a4

10403232314020 has 96 divisors (see below), whose sum is σ = 26900514885888. Its totient is φ = 3290962493952.

The previous prime is 10403232314009. The next prime is 10403232314021. The reversal of 10403232314020 is 2041323230401.

It is not an unprimeable number, because it can be changed into a prime (10403232314021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2736187 + ... + 5319133.

It is an arithmetic number, because the mean of its divisors is an integer number (280213696728).

Almost surely, 210403232314020 is an apocalyptic number.

10403232314020 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 10403232314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450257442944).

10403232314020 is an abundant number, since it is smaller than the sum of its proper divisors (16497282571868).

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

10403232314020 is a wasteful number, since it uses less digits than its factorization.

10403232314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585189 (or 2585187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10403232314020 its reverse (2041323230401), we get a palindrome (12444555544421).

The spelling of 10403232314020 in words is "ten trillion, four hundred three billion, two hundred thirty-two million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2213 4426 8852 11065 15491 22130 28769 30982 44260 57538 61964 77455 115076 143845 154910 201383 287690 309820 402766 575380 805532 1006915 2013830 2582947 4027660 5165894 10331788 12914735 18080629 25829470 33578311 36161258 51658940 67156622 72322516 90403145 134313244 167891555 180806290 235048177 335783110 361612580 470096354 671566220 940192708 1175240885 2350481770 4700963540 5716061711 11432123422 22864246844 28580308555 40012431977 57160617110 74308802243 80024863954 114321234220 148617604486 160049727908 200062159885 297235208972 371544011215 400124319770 520161615701 743088022430 800248639540 1040323231402 1486176044860 2080646462804 2600808078505 5201616157010 10403232314020