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101044310004 = 223311142359771
BaseRepresentation
bin101111000011010110…
…1011100111111110100
3100122210221200210021000
41132012231130333310
53123414320410004
6114230310123300
710204654315041
oct1360655347764
9318727623230
10101044310004
1139941973720
12176bb650530
1396b3c92161
144c67a241c8
152965c6ec39
hex1786b5cff4

101044310004 has 96 divisors (see below), whose sum is σ = 285987502080. Its totient is φ = 30597458400.

The previous prime is 101044309999. The next prime is 101044310009. The reversal of 101044310004 is 400013440101.

It is an interprime number because it is at equal distance from previous prime (101044309999) and next prime (101044310009).

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 (101044310009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660639 + ... + 1720409.

It is an arithmetic number, because the mean of its divisors is an integer number (2979036480).

Almost surely, 2101044310004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101044310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142993751040).

101044310004 is an abundant number, since it is smaller than the sum of its proper divisors (184943192076).

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

101044310004 is a wasteful number, since it uses less digits than its factorization.

101044310004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61218 (or 61210 counting only the distinct ones).

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

Adding to 101044310004 its reverse (400013440101), we get a palindrome (501057750105).

The spelling of 101044310004 in words is "one hundred one billion, forty-four million, three hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1423 2846 4269 5692 8538 12807 15653 17076 25614 31306 38421 46959 51228 59771 62612 76842 93918 119542 140877 153684 179313 187836 239084 281754 358626 422631 537939 563508 657481 717252 845262 1075878 1314962 1613817 1690524 1972443 2151756 2629924 3227634 3944886 5917329 6455268 7889772 11834658 17751987 23669316 35503974 71007948 85054133 170108266 255162399 340216532 510324798 765487197 935595463 1020649596 1530974394 1871190926 2296461591 2806786389 3061948788 3742381852 4592923182 5613572778 8420359167 9185846364 11227145556 16840718334 25261077501 33681436668 50522155002 101044310004