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1020100332303 = 341323401105037
BaseRepresentation
bin11101101100000101011…
…01111100101100001111
310121112001112202002210000
432312002231330230033
5113203131141113203
62100343322215343
7133462015520643
oct16660255745417
93545045662700
101020100332303
11363693053078
12145851654553
137526c6a22b0
1437531ba8c23
151b8062004a3
hexed82b7cb0f

1020100332303 has 80 divisors (see below), whose sum is σ = 1716710821056. Its totient is φ = 598957286400.

The previous prime is 1020100332289. The next prime is 1020100332331. The reversal of 1020100332303 is 3032330010201.

1020100332303 is a `hidden beast` number, since 1 + 0 + 20 + 10 + 0 + 332 + 303 = 666.

It is not a de Polignac number, because 1020100332303 - 28 = 1020100332047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100332373) 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 79 ways as a sum of consecutive naturals, for example, 9659301 + ... + 9764337.

Almost surely, 21020100332303 is an apocalyptic number.

1020100332303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1020100332303 is a deficient number, since it is larger than the sum of its proper divisors (696610488753).

1020100332303 is a wasteful number, since it uses less digits than its factorization.

1020100332303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105486 (or 105477 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1020100332303 its reverse (3032330010201), we get a palindrome (4052430342504).

The spelling of 1020100332303 in words is "one trillion, twenty billion, one hundred million, three hundred thirty-two thousand, three hundred three".

Divisors: 1 3 9 13 23 27 39 69 81 117 207 299 351 401 621 897 1053 1203 1863 2691 3609 5213 8073 9223 10827 15639 24219 27669 32481 46917 83007 105037 119899 140751 249021 315111 359697 422253 747063 945333 1079091 1365481 2415851 2835999 3237273 4096443 7247553 8507997 9711819 12289329 21742659 31406063 36867987 42119837 65227977 94218189 110603961 126359511 195683931 282654567 379078533 547557881 847963701 968756251 1137235599 1642673643 2543891103 2906268753 3411706797 4928020929 8718806259 12593831263 14784062787 26156418777 37781493789 44352188361 78469256331 113344481367 340033444101 1020100332303