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10220102321 = 111361219207
BaseRepresentation
bin10011000010010101…
…00110001010110001
3222101020220222202012
421201022212022301
5131412321233241
64410044132305
7511156302452
oct114112461261
928336828665
1010220102321
114374a88160
121b92837095
13c6b492630
146cd499129
153ec3886eb
hex2612a62b1

10220102321 has 24 divisors (see below), whose sum is σ = 12207529152. Its totient is φ = 8435275200.

The previous prime is 10220102311. The next prime is 10220102323. The reversal of 10220102321 is 12320102201.

It is a happy number.

It is not a de Polignac number, because 10220102321 - 214 = 10220085937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220102296 and 10220102305.

It is not an unprimeable number, because it can be changed into a prime (10220102323) 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, 522500 + ... + 541706.

It is an arithmetic number, because the mean of its divisors is an integer number (508647048).

Almost surely, 210220102321 is an apocalyptic number.

10220102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220102321 is a deficient number, since it is larger than the sum of its proper divisors (1987426831).

10220102321 is a wasteful number, since it uses less digits than its factorization.

10220102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19353 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10220102321 its reverse (12320102201), we get a palindrome (22540204522).

The spelling of 10220102321 in words is "ten billion, two hundred twenty million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 11 13 61 143 671 793 3721 8723 19207 40931 48373 211277 249691 532103 1171627 2746601 12887897 15231151 71469247 167542661 786161717 929100211 10220102321