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100303320432 = 24371915711673
BaseRepresentation
bin101110101101010001…
…0110011010101110000
3100120220022101121122210
41131122202303111300
53120410122223212
6114025000132120
710150416104430
oct1353242632560
9316808347583
10100303320432
11395a1678247
1217533467040
1395c66009a3
144bd745a2c0
152920ba253c
hex175a8b3570

100303320432 has 80 divisors (see below), whose sum is σ = 311719612160. Its totient is φ = 27149769216.

The previous prime is 100303320427. The next prime is 100303320479. The reversal of 100303320432 is 234023303001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100303320399 and 100303320408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7849453 + ... + 7862220.

It is an arithmetic number, because the mean of its divisors is an integer number (3896495152).

Almost surely, 2100303320432 is an apocalyptic number.

100303320432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100303320432 is an abundant number, since it is smaller than the sum of its proper divisors (211416291728).

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

100303320432 is a wasteful number, since it uses less digits than its factorization.

100303320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711710 (or 15711704 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 100303320432 its reverse (234023303001), we get a palindrome (334326623433).

The spelling of 100303320432 in words is "one hundred billion, three hundred three million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 15711673 31423346 47135019 62846692 94270038 109981711 125693384 188540076 219963422 251386768 298521787 329945133 377080152 439926844 597043574 659890266 754160304 879853688 895565361 1194087148 1319780532 1759707376 1791130722 2089652509 2388174296 2639561064 3582261444 4179305018 4776348592 5279122128 6268957527 7164522888 8358610036 12537915054 14329045776 16717220072 25075830108 33434440144 50151660216 100303320432