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10100303423433 = 344725118015869
BaseRepresentation
bin1001001011111010100011…
…1111110110011111001001
31022202120122111211002210000
42102332220333312133021
52310440410134022213
633252003151313213
72061502635361236
oct222765077663711
938676574732700
1010100303423433
113244572a71693
12117160b21b809
135835ba794052
1426cc005b478d
15127aeab15c73
hex92fa8ff67c9

10100303423433 has 80 divisors (see below), whose sum is σ = 15481749507840. Its totient is φ = 6559250400000.

The previous prime is 10100303423423. The next prime is 10100303423489. The reversal of 10100303423433 is 33432430300101.

10100303423433 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 303 + 4 + 2 + 343 + 3 = 666.

It is not a de Polignac number, because 10100303423433 - 24 = 10100303423417 is a prime.

It is a super-2 number, since 2×101003034234332 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100303423397 and 10100303423406.

It is not an unprimeable number, because it can be changed into a prime (10100303423423) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1720955223 + ... + 1720961091.

It is an arithmetic number, because the mean of its divisors is an integer number (193521868848).

Almost surely, 210100303423433 is an apocalyptic number.

It is an amenable number.

10100303423433 is a deficient number, since it is larger than the sum of its proper divisors (5381446084407).

10100303423433 is a wasteful number, since it uses less digits than its factorization.

10100303423433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10100303423433 its reverse (33432430300101), we get a palindrome (43532733723534).

The spelling of 10100303423433 in words is "ten trillion, one hundred billion, three hundred three million, four hundred twenty-three thousand, four hundred thirty-three".

Divisors: 1 3 9 27 47 81 141 251 423 753 1269 1801 2259 3807 5403 5869 6777 11797 16209 17607 20331 35391 48627 52821 84647 106173 145881 158463 253941 275843 318519 452051 475389 761823 827529 955557 1356153 1473119 2285469 2482587 4068459 4419357 6856407 7447761 10570069 12205377 13258071 21246397 22343283 31710207 36616131 39774213 63739191 69236593 95130621 119322639 191217573 207709779 285391863 496793243 573652719 623129337 856175589 1490379729 1720958157 1869388011 2653087319 4471139187 5608164033 7959261957 13413417561 23877785871 40240252683 71633357613 124695103993 214900072839 374085311979 1122255935937 3366767807811 10100303423433