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1102021030032 = 2431325138318371
BaseRepresentation
bin10000000010010101100…
…100100111000010010000
310220100111201222201201220
4100002111210213002100
5121023414340430112
62202132251125040
7142422052125246
oct20022544470220
93810451881656
101102021030032
1139540116184a
121596b4743780
137cbc6706830
143b4a3a78796
151d9ed11998c
hex10095927090

1102021030032 has 160 divisors (see below), whose sum is σ = 3086298464256. Its totient is φ = 336832320000.

The previous prime is 1102021030027. The next prime is 1102021030039. The reversal of 1102021030032 is 2300301202011.

It is a junction number, because it is equal to n+sod(n) for n = 1102021029993 and 1102021030020.

It is not an unprimeable number, because it can be changed into a prime (1102021030039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59977807 + ... + 59996177.

Almost surely, 21102021030032 is an apocalyptic number.

1102021030032 is a gapful number since it is divisible by the number (12) 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 1102021030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543149232128).

1102021030032 is an abundant number, since it is smaller than the sum of its proper divisors (1984277434224).

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

1102021030032 is a wasteful number, since it uses less digits than its factorization.

1102021030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19029 (or 19023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1102021030032 its reverse (2300301202011), we get a palindrome (3402322232043).

The spelling of 1102021030032 in words is "one trillion, one hundred two billion, twenty-one million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 251 312 383 502 624 753 766 1004 1149 1506 1532 2008 2298 3012 3064 3263 4016 4596 4979 6024 6128 6526 9192 9789 9958 12048 13052 14937 18371 18384 19578 19916 26104 29874 36742 39156 39832 52208 55113 59748 73484 78312 79664 96133 110226 119496 146968 156624 192266 220452 238823 238992 288399 293936 384532 440904 477646 576798 716469 769064 881808 955292 1153596 1249729 1432938 1538128 1910584 2307192 2499458 2865876 3749187 3821168 4611121 4614384 4998916 5731752 7036093 7498374 9222242 9997832 11463504 13833363 14072186 14996748 18444484 19995664 21108279 27666726 28144372 29993496 36888968 42216558 55333452 56288744 59944573 59986992 73777936 84433116 91469209 110666904 112577488 119889146 168866232 179833719 182938418 221333808 239778292 274407627 337732464 359667438 365876836 479556584 548815254 719334876 731753672 959113168 1097630508 1438669752 1463507344 1766059343 2195261016 2877339504 3532118686 4390522032 5298178029 7064237372 10596356058 14128474744 21192712116 22958771459 28256949488 42385424232 45917542918 68876314377 84770848464 91835085836 137752628754 183670171672 275505257508 367340343344 551010515016 1102021030032