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105003047232 = 2632315880547
BaseRepresentation
bin110000111001010101…
…0110101100101000000
3101001000211202110211100
41201302222311211000
53210021240002412
6120123203414400
710405034114016
oct1416252654500
9331024673740
10105003047232
1140593534586
1218425384400
139b95197315
1451216b68b6
152ae8593edc
hex1872ab5940

105003047232 has 84 divisors (see below), whose sum is σ = 310681111936. Its totient is φ = 33871944960.

The previous prime is 105003047221. The next prime is 105003047329. The reversal of 105003047232 is 232740300501.

It is a super-2 number, since 2×1050030472322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105003047196 and 105003047205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2922418 + ... + 2958129.

Almost surely, 2105003047232 is an apocalyptic number.

105003047232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105003047232 is an abundant number, since it is smaller than the sum of its proper divisors (205678064704).

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

105003047232 is a wasteful number, since it uses less digits than its factorization.

105003047232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880596 (or 5880583 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 105003047232 its reverse (232740300501), we get a palindrome (337743347733).

The spelling of 105003047232 in words is "one hundred five billion, three million, forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 5880547 11761094 17641641 23522188 35283282 47044376 52924923 70566564 94088752 105849846 141133128 182296957 188177504 211699692 282266256 364593914 376355008 423399384 546890871 564532512 729187828 846798768 1093781742 1129065024 1458375656 1640672613 1693597536 2187563484 2916751312 3281345226 3387195072 4375126968 5833502624 6562690452 8750253936 11667005248 13125380904 17500507872 26250761808 35001015744 52501523616 105003047232