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30221323332032 = 267791316518341
BaseRepresentation
bin1101101111100011100110…
…01111011110100111000000
310222000010111222120221111202
412313301303033132213000
512430121232233111112
6144135252334200332
76236263364565050
oct667616317364700
9128003458527452
1030221323332032
1196a1878175208
1234811180530a8
1313b2b2134cc51
14766a113c9560
153761d52676c2
hex1b7c733de9c0

30221323332032 has 112 divisors (see below), whose sum is σ = 69935030584320. Its totient is φ = 12690425779200.

The previous prime is 30221323332029. The next prime is 30221323332097. The reversal of 30221323332032 is 23023332312203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 30221323331986 and 30221323332004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377182 + ... + 7895522.

Almost surely, 230221323332032 is an apocalyptic number.

30221323332032 is a gapful number since it is divisible by the number (32) 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 30221323332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34967515292160).

30221323332032 is an abundant number, since it is smaller than the sum of its proper divisors (39713707252288).

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

30221323332032 is a wasteful number, since it uses less digits than its factorization.

30221323332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518570 (or 6518560 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 30221323332032 its reverse (23023332312203), we get a palindrome (53244655644235).

The spelling of 30221323332032 in words is "thirty trillion, two hundred twenty-one billion, three hundred twenty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 131 158 224 262 316 448 524 553 632 917 1048 1106 1264 1834 2096 2212 2528 3668 4192 4424 5056 7336 8384 8848 10349 14672 17696 20698 29344 35392 41396 58688 72443 82792 144886 165584 289772 331168 579544 662336 1159088 2318176 4636352 6518341 13036682 26073364 45628387 52146728 91256774 104293456 182513548 208586912 365027096 417173824 514948939 730054192 853902671 1029897878 1460108384 1707805342 2059795756 2920216768 3415610684 3604642573 4119591512 5977318697 6831221368 7209285146 8239183024 11954637394 13662442736 14418570292 16478366048 23909274788 27324885472 28837140584 32956732096 47818549576 54649770944 57674281168 67458311009 95637099152 115348562336 134916622018 191274198304 230697124672 269833244036 382548396608 472208177063 539666488072 944416354126 1079332976144 1888832708252 2158665952288 3777665416504 4317331904576 7555330833008 15110661666016 30221323332032