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900021010120001 = 7112231132631554559
BaseRepresentation
bin1100110010100100000111100…
…0100110010011110101000001
311101000201011112200002102221222
43030221001320212103311001
51420431421012042320001
612510103535532324425
7360401241436104350
oct31451017046236501
94330634480072858
10900021010120001
11240857848793600
1284b3a127313715
132c82780395a8c3
1411c3736c1ad997
156e0b92a2c761b
hex3329078993d41

900021010120001 has 96 divisors (see below), whose sum is σ = 1194728260239360. Its totient is φ = 662358113303040.

The previous prime is 900021010119943. The next prime is 900021010120061. The reversal of 900021010120001 is 100021010120009.

It is not a de Polignac number, because 900021010120001 - 226 = 900020943011137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (900021010120061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578178560 + ... + 579733118.

It is an arithmetic number, because the mean of its divisors is an integer number (12445086044160).

Almost surely, 2900021010120001 is an apocalyptic number.

It is an amenable number.

900021010120001 is a deficient number, since it is larger than the sum of its proper divisors (294707250119359).

900021010120001 is a wasteful number, since it uses less digits than its factorization.

900021010120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554987 (or 1554976 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 900021010120001 in words is "nine hundred trillion, twenty-one billion, ten million, one hundred twenty thousand, one".

Divisors: 1 7 11 23 77 113 121 161 253 263 791 847 1243 1771 1841 2599 2783 2893 6049 8701 13673 18193 19481 20251 28589 29719 31823 42343 66539 95711 200123 208033 222761 314479 326909 465773 683537 731929 1554559 2201353 2288363 3595999 4784759 5123503 7518907 10881913 17100149 25171993 35754857 52632349 82707977 119701043 175665167 188101639 250283999 393303427 408849017 578955839 1229656169 1316711473 1932316837 2753123989 2861943119 4040298841 4326337697 4497339187 9403527391 13526217859 21255485207 28282091887 30284363879 31481374309 44443287251 46199938921 49470731057 65824691737 103438801301 148788396449 311103010757 323399572447 346295117399 488876159761 508199328131 724071609107 1062598595183 1137826814311 3422133118327 3557395296917 5590192609441 7438190166281 7964787700177 11688584547013 39131348266087 81820091829091 128574430017143 900021010120001