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101044002132 = 223223611319963
BaseRepresentation
bin101111000011010110…
…0010001110101010100
3100122210221010010221100
41132012230101311110
53123414231032012
6114230255350100
710204651563333
oct1360654216524
9318727103840
10101044002132
1139941783387
12176bb522330
1396b3bb4c98
144c67983d1a
152965c0d8dc
hex1786b11d54

101044002132 has 72 divisors (see below), whose sum is σ = 266578812864. Its totient is φ = 32210044416.

The previous prime is 101044002077. The next prime is 101044002133. The reversal of 101044002132 is 231200440101.

101044002132 is a `hidden beast` number, since 1 + 0 + 10 + 440 + 0 + 213 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101044002133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5051583 + ... + 5071545.

It is an arithmetic number, because the mean of its divisors is an integer number (3702483512).

Almost surely, 2101044002132 is an apocalyptic number.

101044002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101044002132 is an abundant number, since it is smaller than the sum of its proper divisors (165534810732).

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

101044002132 is a wasteful number, since it uses less digits than its factorization.

101044002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26109 (or 26104 counting only the distinct ones).

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

Adding to 101044002132 its reverse (231200440101), we get a palindrome (332244442233).

The spelling of 101044002132 in words is "one hundred one billion, forty-four million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 6113 12226 18339 19963 24452 36678 39926 55017 59889 73356 79852 110034 119778 140599 179667 220068 239556 281198 359334 421797 459149 562396 718668 843594 918298 1265391 1377447 1687188 1836596 2530782 2754894 4132341 5061564 5509788 8264682 16529364 122033819 244067638 366101457 488135276 732202914 1098304371 1464405828 2196608742 2806777837 4393217484 5613555674 8420333511 11227111348 16840667022 25261000533 33681334044 50522001066 101044002132