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100234434231 = 3437167271739
BaseRepresentation
bin101110101011001110…
…0000001011010110111
3100120201111202211120000
41131112130001122313
53120240003343411
6114014055442343
710145621430141
oct1352634013267
9316644684500
10100234434231
11395667a7aa8
12175143863b3
1395b5262119
144bcc247c91
152919ae6956
hex17567016b7

100234434231 has 80 divisors (see below), whose sum is σ = 155481553920. Its totient is φ = 64301999040.

The previous prime is 100234434197. The next prime is 100234434271. The reversal of 100234434231 is 132434432001.

100234434231 is a `hidden beast` number, since 1 + 0 + 0 + 234 + 4 + 3 + 423 + 1 = 666.

It is not a de Polignac number, because 100234434231 - 217 = 100234303159 is a prime.

It is a super-2 number, since 2×1002344342312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100234434195 and 100234434204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100234434271) 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, 135634860 + ... + 135635598.

It is an arithmetic number, because the mean of its divisors is an integer number (1943519424).

Almost surely, 2100234434231 is an apocalyptic number.

100234434231 is a deficient number, since it is larger than the sum of its proper divisors (55247119689).

100234434231 is a wasteful number, since it uses less digits than its factorization.

100234434231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100234434231 its reverse (132434432001), we get a palindrome (232668866232).

The spelling of 100234434231 in words is "one hundred billion, two hundred thirty-four million, four hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 27 37 81 111 167 271 333 501 739 813 999 1503 2217 2439 2997 4509 6179 6651 7317 10027 13527 18537 19953 21951 27343 30081 45257 55611 59859 82029 90243 123413 135771 166833 200269 246087 270729 370239 407313 500499 600807 738261 812187 1110717 1221939 1674509 1802421 2214783 3332151 3665817 4566281 5023527 5407263 7409953 9996453 13698843 15070581 16221789 22229859 33444923 41096529 45211743 66689577 100334769 123289587 135635229 200068731 301004307 369868761 600206193 903012921 1237462151 2709038763 3712386453 11137159359 33411478077 100234434231