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10131421430403 = 3271350973932887
BaseRepresentation
bin1001001101101110011111…
…0001101000001010000011
31022212112222011211122101200
42103123213301220022003
52311443122341233103
633314151042232243
72063654032151520
oct223334761501203
938775864748350
1010131421430403
1132567912a9919
121177654655683
13586509673020
142705132c8147
1512881c9810a3
hex936e7c68283

10131421430403 has 96 divisors (see below), whose sum is σ = 18071771827200. Its totient is φ = 5326168151808.

The previous prime is 10131421430399. The next prime is 10131421430407. The reversal of 10131421430403 is 30403412413101.

10131421430403 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 14 + 214 + 30 + 403 = 666.

It is an interprime number because it is at equal distance from previous prime (10131421430399) and next prime (10131421430407).

It is not a de Polignac number, because 10131421430403 - 22 = 10131421430399 is a prime.

It is a super-3 number, since 3×101314214304033 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131421430407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308051226 + ... + 308084112.

It is an arithmetic number, because the mean of its divisors is an integer number (188247623200).

Almost surely, 210131421430403 is an apocalyptic number.

10131421430403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10131421430403 is a deficient number, since it is larger than the sum of its proper divisors (7940350396797).

10131421430403 is a wasteful number, since it uses less digits than its factorization.

10131421430403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34161 (or 34158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10131421430403 its reverse (30403412413101), we get a palindrome (40534833843504).

The spelling of 10131421430403 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty-one million, four hundred thirty thousand, four hundred three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 509 739 819 1527 2217 3563 4581 5173 6617 6651 9607 10689 15519 19851 28821 32067 32887 46319 46557 59553 67249 86463 98661 138957 201747 230209 295983 376151 416871 427531 605241 690627 1128453 1282593 2071881 2633057 2992717 3385359 3847779 4889963 7899171 8978151 14669889 16739483 23697513 24303493 26934453 34229741 44009667 50218449 72910479 102689223 117176381 150655347 170124451 217613279 218731437 308067669 315945409 351529143 510373353 652839837 947836227 1054587429 1523292953 1531120059 1958519511 2211617863 2843508681 4569878859 6634853589 12370477937 13709636577 19904560767 37111433811 86593345559 111334301433 160816213181 259780036677 482448639543 779340110031 1125713492267 1447345918629 3377140476801 10131421430403