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22101133000232 = 231113191381736277
BaseRepresentation
bin1010000011001110100100…
…01011100111111000101000
32220020211212221220002000002
411001213102023213320220
510344101110022001412
6115001041554202132
74440516451604066
oct501472213477050
986224787802002
1022101133000232
117051046448850
12258b420883348
13c44187cc0c80
145659b441b036
15284d7b7a1dc2
hex1419d22e7e28

22101133000232 has 128 divisors (see below), whose sum is σ = 51283824278400. Its totient is φ = 8778766003200.

The previous prime is 22101133000187. The next prime is 22101133000249. The reversal of 22101133000232 is 23200033110122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29649278 + ... + 30385554.

It is an arithmetic number, because the mean of its divisors is an integer number (400654877175).

Almost surely, 222101133000232 is an apocalyptic number.

22101133000232 is a gapful number since it is divisible by the number (22) 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 22101133000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25641912139200).

22101133000232 is an abundant number, since it is smaller than the sum of its proper divisors (29182691278168).

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

22101133000232 is a wasteful number, since it uses less digits than its factorization.

22101133000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737707 (or 737703 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22101133000232 its reverse (23200033110122), we get a palindrome (45301166110354).

The spelling of 22101133000232 in words is "twenty-two trillion, one hundred one billion, one hundred thirty-three million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1144 1381 1672 1976 2717 2762 5434 5524 10868 11048 15191 17953 21736 26239 30382 35906 52478 60764 71812 104956 121528 143624 197483 209912 288629 341107 394966 577258 682214 736277 789932 1154516 1364428 1472554 1579864 2309032 2728856 2945108 3752177 5890216 7504354 8099047 9571601 13989263 15008708 16198094 19143202 27978526 30017416 32396188 38286404 55957052 64792376 76572808 105287611 111914104 153881893 181860419 210575222 307763786 363720838 421150444 615527572 727441676 842300888 1016798537 1231055144 1454883352 2000464609 2033597074 4000929218 4067194148 8001858436 8134388296 11184783907 13218380981 16003716872 19319172203 22369567814 26436761962 38638344406 44739135628 52873523924 77276688812 89478271256 105747047848 145402190791 154553377624 212510894233 251149238639 290804381582 425021788466 502298477278 581608763164 850043576932 1004596954556 1163217526328 1700087153864 2009193909112 2762641625029 5525283250058 11050566500116 22101133000232