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10102323001221 = 3211413537050623
BaseRepresentation
bin1001001100000010000101…
…0111111011011110000101
31022202202212021000021200100
42103000201113323132011
52311004024142014341
633252535414034313
72061603660453153
oct223004127733605
938682767007610
1010102323001221
113245409a70340
121171a93648999
135838500045a9
1426cd528c83d3
15127bb80943b6
hex930215fb785

10102323001221 has 48 divisors (see below), whose sum is σ = 16353273710592. Its totient is φ = 5956365465600.

The previous prime is 10102323001207. The next prime is 10102323001237. The reversal of 10102323001221 is 12210032320101.

10102323001221 is a `hidden beast` number, since 1 + 0 + 10 + 232 + 300 + 122 + 1 = 666.

It is not a de Polignac number, because 10102323001221 - 29 = 10102323000709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102323001194 and 10102323001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102323001261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2092485 + ... + 4958138.

It is an arithmetic number, because the mean of its divisors is an integer number (340693202304).

Almost surely, 210102323001221 is an apocalyptic number.

10102323001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102323001221 is a deficient number, since it is larger than the sum of its proper divisors (6250950709371).

10102323001221 is a wasteful number, since it uses less digits than its factorization.

10102323001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051034 (or 7051031 counting only the distinct ones).

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

Adding to 10102323001221 its reverse (12210032320101), we get a palindrome (22312355321322).

The spelling of 10102323001221 in words is "ten trillion, one hundred two billion, three hundred twenty-three million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 41 99 123 353 369 451 1059 1353 3177 3883 4059 11649 14473 34947 43419 130257 159203 477609 1432827 7050623 21151869 63455607 77556853 232670559 289075543 698011677 867226629 2488869919 2601679887 3179830973 7466609757 9539492919 22399829271 27377569109 28618478757 82132707327 102043666679 246398121981 306131000037 918393000111 1122480333469 3367441000407 10102323001221