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21110033323032 = 23323315387229003
BaseRepresentation
bin1001100110011000100000…
…00010011001010000011000
32202202002200111222220010020
410303030100002121100120
510231331322012314112
6112521452044350440
74306102206420033
oct463142002312030
982662614886106
1021110033323032
1167a9795523135
12244b323545420
13ba188a945b34
1452da3408001a
152691c15c848c
hex133310099418

21110033323032 has 128 divisors (see below), whose sum is σ = 56856893276160. Its totient is φ = 6512377196160.

The previous prime is 21110033323013. The next prime is 21110033323039. The reversal of 21110033323032 is 23032333001112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21110033322993 and 21110033323011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110033323039) 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, 92067843 + ... + 92296845.

It is an arithmetic number, because the mean of its divisors is an integer number (444194478720).

Almost surely, 221110033323032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110033323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28428446638080).

21110033323032 is an abundant number, since it is smaller than the sum of its proper divisors (35746859953128).

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

21110033323032 is a wasteful number, since it uses less digits than its factorization.

21110033323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234453 (or 234449 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21110033323032 its reverse (23032333001112), we get a palindrome (44142366324144).

The spelling of 21110033323032 in words is "twenty-one trillion, one hundred ten billion, thirty-three million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5387 5704 8556 10774 16161 17112 21548 32322 43096 64644 123901 129288 166997 229003 247802 333994 371703 458006 495604 500991 667988 687009 743406 916012 991208 1001982 1335976 1374018 1486812 1832024 2003964 2748036 2973624 3840931 4007928 5267069 5496072 7099093 7681862 10534138 11522793 14198186 15363724 15801207 21068276 21297279 23045586 28396372 30727448 31602414 42136552 42594558 46091172 56792744 63204828 85189116 92182344 126409656 163279139 170378232 326558278 489837417 653116556 979674834 1233639161 1306233112 1959349668 2467278322 3700917483 3918699336 4934556644 7401834966 9869113288 14803669932 28373700703 29607339864 38242813991 56747401406 76485627982 85121102109 113494802812 114728441973 152971255964 170242204218 226989605624 229456883946 305942511928 340484408436 458913767892 680968816872 879584721793 917827535784 1759169443586 2638754165379 3518338887172 5277508330758 7036677774344 10555016661516 21110033323032