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20022100300032 = 283101407963281
BaseRepresentation
bin1001000110101110000100…
…01011010001000100000000
32121220002112121002001220120
410203113002023101010000
510111020230134100112
6110330005332140240
74134356211332325
oct443270213210400
977802477061816
1020022100300032
11641a36370a606
1222b4500a67680
13b230cab52c4c
144d310946ab4c
1524ac4a1c7e8c
hex1235c22d1100

20022100300032 has 144 divisors (see below), whose sum is σ = 53829633473280. Its totient is φ = 6606229504000.

The previous prime is 20022100299973. The next prime is 20022100300109. The reversal of 20022100300032 is 23000300122002.

It is a junction number, because it is equal to n+sod(n) for n = 20022100299984 and 20022100300020.

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, 316368232 + ... + 316431512.

It is an arithmetic number, because the mean of its divisors is an integer number (373816899120).

Almost surely, 220022100300032 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 20022100300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26914816736640).

20022100300032 is an abundant number, since it is smaller than the sum of its proper divisors (33807533173248).

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

20022100300032 is a wasteful number, since it uses less digits than its factorization.

20022100300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67480 (or 67466 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20022100300032 its reverse (23000300122002), we get a palindrome (43022400422034).

The spelling of 20022100300032 in words is "twenty trillion, twenty-two billion, one hundred million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 3232 4079 4848 6464 8158 9696 12237 12928 16316 19392 24474 25856 32632 38784 48948 63281 65264 77568 97896 126562 130528 189843 195792 253124 261056 379686 391584 411979 506248 522112 759372 783168 823958 1012496 1044224 1235937 1518744 1566336 1647916 2024992 2471874 3037488 3132672 3295832 4049984 4943748 6074976 6391381 6591664 8099968 9887496 12149952 12782762 13183328 16199936 19174143 19774992 24299904 25565524 26366656 38348286 39549984 48599808 51131048 52733312 76696572 79099968 102262096 105466624 153393144 158199936 204524192 258123199 306786288 316399872 409048384 516246398 613572576 774369597 818096768 1032492796 1227145152 1548739194 1636193536 2064985592 2454290304 3097478388 4129971184 4908580608 6194956776 8259942368 12389913552 16519884736 24779827104 26070443099 33039769472 49559654208 52140886198 66079538944 78211329297 99119308416 104281772396 156422658594 198238616832 208563544792 312845317188 417127089584 625690634376 834254179168 1251381268752 1668508358336 2502762537504 3337016716672 5005525075008 6674033433344 10011050150016 20022100300032