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100110204324 = 223213213910693
BaseRepresentation
bin101110100111100001…
…0000111110110100100
3100120101212000022011100
41131033002013312210
53120011203014244
6113553501040100
710142552460624
oct1351702076644
9316355008140
10100110204324
1139502667259
121749a856030
1395955b6ac0
144bb994a884
15290dc57b69
hex174f087da4

100110204324 has 36 divisors (see below), whose sum is σ = 272522224156. Its totient is φ = 30803139648.

The previous prime is 100110204307. The next prime is 100110204329. The reversal of 100110204324 is 423402011001.

100110204324 is a `hidden beast` number, since 100 + 110 + 20 + 432 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24529197924 + 75581006400 = 156618^2 + 274920^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1001102043243 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100110204297 and 100110204306.

It is not an unprimeable number, because it can be changed into a prime (100110204329) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 106954879 + ... + 106955814.

Almost surely, 2100110204324 is an apocalyptic number.

It is an amenable number.

100110204324 is an abundant number, since it is smaller than the sum of its proper divisors (172412019832).

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

100110204324 is a wasteful number, since it uses less digits than its factorization.

100110204324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213910716 (or 213910711 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100110204324 its reverse (423402011001), we get a palindrome (523512215325).

The spelling of 100110204324 in words is "one hundred billion, one hundred ten million, two hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 213910693 427821386 641732079 855642772 1283464158 1925196237 2566928316 2780839009 3850392474 5561678018 7700784948 8342517027 11123356036 16685034054 25027551081 33370068108 50055102162 100110204324