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10221233302332 = 22321321680018623
BaseRepresentation
bin1001010010111101000011…
…1110101110101100111100
31100012010210022201110022200
42110233100332232230330
52314431041211133312
633423323022311500
72103313455364653
oct224572076565474
940163708643280
1010221233302332
113290889806568
121190b3a428590
13591b20506900
142749d321419a
1512ad2754b0dc
hex94bd0faeb3c

10221233302332 has 54 divisors (see below), whose sum is σ = 27977350145472. Its totient is φ = 3144994860384.

The previous prime is 10221233302219. The next prime is 10221233302333. The reversal of 10221233302332 is 23320333212201.

10221233302332 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 23 + 3 + 302 + 332 = 666.

It is a super-2 number, since 2×102212333023322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221233302296 and 10221233302305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221233302333) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 840003228 + ... + 840015395.

It is an arithmetic number, because the mean of its divisors is an integer number (518099076768).

Almost surely, 210221233302332 is an apocalyptic number.

10221233302332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221233302332 is an abundant number, since it is smaller than the sum of its proper divisors (17756116843140).

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

10221233302332 is a wasteful number, since it uses less digits than its factorization.

10221233302332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680018659 (or 1680018641 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10221233302332 its reverse (23320333212201), we get a palindrome (33541566514533).

The spelling of 10221233302332 in words is "ten trillion, two hundred twenty-one billion, two hundred thirty-three million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 1680018623 3360037246 5040055869 6720074492 10080111738 15120167607 20160223476 21840242099 30240335214 43680484198 60480670428 65520726297 87360968396 131041452594 196562178891 262082905188 283923147287 393124357782 567846294574 786248715564 851769441861 1135692589148 1703538883722 2555308325583 3407077767444 5110616651166 10221233302332