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100442424312 = 23321395033671
BaseRepresentation
bin101110110001011010…
…1011100001111111000
3100121021000010211022100
41131202311130033320
53121201230034222
6114050445423400
710154025343206
oct1354265341770
9317230124270
10100442424312
113966314802a
1217571b6ab60
139619386189
144c0bb0a076
15292cecd4ac
hex1762d5c3f8

100442424312 has 24 divisors (see below), whose sum is σ = 272031566040. Its totient is φ = 33480808080.

The previous prime is 100442424281. The next prime is 100442424359. The reversal of 100442424312 is 213424244001.

100442424312 is a `hidden beast` number, since 100 + 4 + 4 + 242 + 4 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 697516764 + ... + 697516907.

It is an arithmetic number, because the mean of its divisors is an integer number (11334648585).

Almost surely, 2100442424312 is an apocalyptic number.

100442424312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100442424312 is an abundant number, since it is smaller than the sum of its proper divisors (171589141728).

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

100442424312 is a wasteful number, since it uses less digits than its factorization.

100442424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395033683 (or 1395033676 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100442424312 its reverse (213424244001), we get a palindrome (313866668313).

The spelling of 100442424312 in words is "one hundred billion, four hundred forty-two million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1395033671 2790067342 4185101013 5580134684 8370202026 11160269368 12555303039 16740404052 25110606078 33480808104 50221212156 100442424312