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30032221101102 = 23411314679116189
BaseRepresentation
bin1101101010000011010111…
…10111101101110000101110
310221100001102010101021210000
412311001223313231300232
512414021442100213402
6143512340101125130
76216520302260403
oct665015367556056
9127301363337700
1030032221101102
119629658967230
1234505420b97a6
13139b045a1334c
1475b7d27a62aa
153713188dbc1c
hex1b506bdedc2e

30032221101102 has 160 divisors (see below), whose sum is σ = 75797076326400. Its totient is φ = 8805144916800.

The previous prime is 30032221101079. The next prime is 30032221101163. The reversal of 30032221101102 is 20110112223003.

30032221101102 is a `hidden beast` number, since 30 + 0 + 322 + 211 + 0 + 1 + 102 = 666.

It is a super-3 number, since 3×300322211011023 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258419224 + ... + 258535412.

It is an arithmetic number, because the mean of its divisors is an integer number (473731727040).

Almost surely, 230032221101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30032221101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37898538163200).

30032221101102 is an abundant number, since it is smaller than the sum of its proper divisors (45764855225298).

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

30032221101102 is a wasteful number, since it uses less digits than its factorization.

30032221101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120924 (or 120915 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30032221101102 its reverse (20110112223003), we get a palindrome (50142333324105).

The spelling of 30032221101102 in words is "thirty trillion, thirty-two billion, two hundred twenty-one million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 558 594 682 837 891 1023 1674 1782 2046 2511 3069 4679 5022 6138 9207 9358 14037 18414 27621 28074 42111 51469 55242 84222 102938 116189 126333 145049 154407 232378 252666 290098 308814 348567 378999 435147 463221 697134 757998 870294 926442 1045701 1278079 1305441 1389663 1595539 2091402 2556158 2610882 2779326 3137103 3191078 3601859 3834237 3916323 4168989 4786617 6274206 7203718 7668474 7832646 8337978 9411309 9573234 10805577 11502711 11748969 14359851 18822618 21611154 23005422 23497938 28719702 32416731 34508133 39620449 43079553 64833462 69016266 79240898 86159106 97250193 103524399 118861347 129238659 194500386 207048798 237722694 258477318 291750579 356584041 543648331 583501158 713168082 1069752123 1087296662 1630944993 2139504246 3209256369 3261889986 4892834979 5980131641 6418512738 9785669958 11960263282 14678504937 16853098261 17940394923 29357009874 33706196522 35880789846 44035514811 50559294783 53821184769 88071029622 101118589566 107642369538 151677884349 161463554307 185384080871 303355768698 322927108614 370768161742 455033653047 484390662921 556152242613 910067306094 968781325842 1112304485226 1365100959141 1668456727839 2730201918282 3336913455678 5005370183517 10010740367034 15016110550551 30032221101102