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10221120203301 = 327336527482101
BaseRepresentation
bin1001010010111100101000…
…1111010010101000100101
31100012010111102220102121200
42110233022033102220211
52314430323233001201
633423303502233113
72103310613145120
oct224571217225045
940163442812550
1010221120203301
113290830988597
121190b08585799
13591b02c57ac7
142749c21b33b7
1512ad1c65a386
hex94bca3d2a25

10221120203301 has 24 divisors (see below), whose sum is σ = 16873045473024. Its totient is φ = 5840610645600.

The previous prime is 10221120203299. The next prime is 10221120203377. The reversal of 10221120203301 is 10330202112201.

10221120203301 is a `hidden beast` number, since 1 + 0 + 221 + 120 + 20 + 3 + 301 = 666.

It is not a de Polignac number, because 10221120203301 - 21 = 10221120203299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221120203101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20960151 + ... + 21442251.

It is an arithmetic number, because the mean of its divisors is an integer number (703043561376).

Almost surely, 210221120203301 is an apocalyptic number.

It is an amenable number.

10221120203301 is a deficient number, since it is larger than the sum of its proper divisors (6651925269723).

10221120203301 is a wasteful number, since it uses less digits than its factorization.

10221120203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818641 (or 818638 counting only the distinct ones).

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

Adding to 10221120203301 its reverse (10330202112201), we get a palindrome (20551322315502).

The spelling of 10221120203301 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, two hundred three thousand, three hundred one".

Divisors: 1 3 7 9 21 63 336527 482101 1009581 1446303 2355689 3028743 3374707 4338909 7067067 10124121 21201201 30372363 162240003227 486720009681 1135680022589 1460160029043 3407040067767 10221120203301