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101020219452 = 22328731321397
BaseRepresentation
bin101111000010101000…
…1100011100000111100
3100122202021100212020100
41132011101203200330
53123342134010302
6114224045521100
710204242461145
oct1360521434074
9318667325210
10101020219452
113992a30a079
12176b3573190
1396abca8ba9
144c64752acc
152963ab1d1c
hex178546383c

101020219452 has 36 divisors (see below), whose sum is σ = 255386707576. Its totient is φ = 33669444960.

The previous prime is 101020219439. The next prime is 101020219457. The reversal of 101020219452 is 254912020101.

101020219452 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 202 + 1 + 9 + 452 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020219457) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 153618 + ... + 475014.

Almost surely, 2101020219452 is an apocalyptic number.

101020219452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020219452 is an abundant number, since it is smaller than the sum of its proper divisors (154366488124).

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

101020219452 is a wasteful number, since it uses less digits than its factorization.

101020219452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330138 (or 330133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 101020219452 its reverse (254912020101), we get a palindrome (355932239553).

The spelling of 101020219452 in words is "one hundred one billion, twenty million, two hundred nineteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8731 17462 26193 34924 52386 78579 104772 157158 314316 321397 642794 964191 1285588 1928382 2892573 3856764 5785146 11570292 2806117207 5612234414 8418351621 11224468828 16836703242 25255054863 33673406484 50510109726 101020219452