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100330121124 = 22336115229223
BaseRepresentation
bin101110101110000100…
…1000010011110100100
3100120222011211020022000
41131130021002132210
53120434002333444
6114031354405300
710151162646522
oct1353411023644
9316864736260
10100330121124
1139605812a82
1217540430830
1395cc02569c
144bdac35312
1529231e8469
hex175c2427a4

100330121124 has 48 divisors (see below), whose sum is σ = 264379328640. Its totient is φ = 32895119520.

The previous prime is 100330121119. The next prime is 100330121131. The reversal of 100330121124 is 421121033001.

100330121124 is a `hidden beast` number, since 100 + 330 + 1 + 211 + 24 = 666.

It is a super-2 number, since 2×1003301211242 (a number of 23 digits) contains 22 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 = 100330121097 and 100330121106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7608024 + ... + 7621199.

It is an arithmetic number, because the mean of its divisors is an integer number (5507902680).

Almost surely, 2100330121124 is an apocalyptic number.

It is an amenable number.

100330121124 is an abundant number, since it is smaller than the sum of its proper divisors (164049207516).

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

100330121124 is a wasteful number, since it uses less digits than its factorization.

100330121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15229297 (or 15229289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100330121124 its reverse (421121033001), we get a palindrome (521451154125).

The spelling of 100330121124 in words is "one hundred billion, three hundred thirty million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 15229223 30458446 45687669 60916892 91375338 137063007 182750676 274126014 411189021 548252028 822378042 928982603 1644756084 1857965206 2786947809 3715930412 5573895618 8360843427 11147791236 16721686854 25082530281 33443373708 50165060562 100330121124