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100012010111000 = 23531314627525961
BaseRepresentation
bin10110101111010111011100…
…010101100000000000011000
3111010010001110221110101022122
4112233113130111200000120
5101102044044042023000
6552412514433040412
730031425562330151
oct2657273425400030
9433101427411278
10100012010111000
1129959945444349
12b272bb79b6108
1343a612740a9c0
141a9a86dd02928
15b8681dd8b085
hex5af5dc560018

100012010111000 has 128 divisors (see below), whose sum is σ = 252047975175360. Its totient is φ = 36924916608000.

The previous prime is 100012010110919. The next prime is 100012010111009. The reversal of 100012010111000 is 111010210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012010111009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189888020 + ... + 190413980.

Almost surely, 2100012010111000 is an apocalyptic number.

100012010111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012010111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126023987587680).

100012010111000 is an abundant number, since it is smaller than the sum of its proper divisors (152035965064360).

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

100012010111000 is a wasteful number, since it uses less digits than its factorization.

100012010111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540622 (or 540608 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100012010111000 its reverse (111010210001), we get a palindrome (100123020321001).

Subtracting from 100012010111000 its reverse (111010210001), we obtain a palindrome (99900999900999).

The spelling of 100012010111000 in words is "one hundred trillion, twelve billion, ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 14627 29254 58508 73135 117016 146270 190151 292540 365675 380302 525961 585080 731350 760604 950755 1051922 1462700 1521208 1828375 1901510 2103844 2629805 2925400 3656750 3803020 4207688 4753775 5259610 6837493 7313500 7606040 9507550 10519220 13149025 13674986 14627000 19015100 21038440 23768875 26298050 27349972 34187465 38030200 47537750 52596100 54699944 65745125 68374930 95075500 105192200 131490250 136749860 170937325 190151000 262980500 273499720 341874650 525961000 683749300 854686625 1367498600 1709373250 3418746500 6837493000 7693231547 15386463094 30772926188 38466157735 61545852376 76932315470 100012010111 153864630940 192330788675 200024020222 307729261880 384661577350 400048040444 500060050555 769323154700 800096080888 961653943375 1000120101110 1538646309400 1923307886750 2000240202220 2500300252775 3846615773500 4000480404440 5000600505550 7693231547000 10001201011100 12501501263875 20002402022200 25003002527750 50006005055500 100012010111000