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1011323010321 = 3213193781115161
BaseRepresentation
bin11101011011101111000…
…11000111110100010001
310120200101211122221120200
432231313203013310101
5113032142142312241
62052332333525413
7133031345515641
oct16556743076421
93520354587520
101011323010321
1135a999524168
12144002043869
13744a10b9650
1436d3c19a521
151b49085c4b6
hexeb778c7d11

1011323010321 has 96 divisors (see below), whose sum is σ = 1702932766080. Its totient is φ = 572917017600.

The previous prime is 1011323010317. The next prime is 1011323010353. The reversal of 1011323010321 is 1230103231101.

1011323010321 is a `hidden beast` number, since 1 + 0 + 11 + 32 + 301 + 0 + 321 = 666.

It is not a de Polignac number, because 1011323010321 - 22 = 1011323010317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011323010294 and 1011323010303.

It is not an unprimeable number, because it can be changed into a prime (1011323010311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66697981 + ... + 66713141.

It is an arithmetic number, because the mean of its divisors is an integer number (17738882980).

Almost surely, 21011323010321 is an apocalyptic number.

It is an amenable number.

1011323010321 is a deficient number, since it is larger than the sum of its proper divisors (691609755759).

1011323010321 is a wasteful number, since it uses less digits than its factorization.

1011323010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16047 (or 16044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011323010321 its reverse (1230103231101), we get a palindrome (2241426241422).

The spelling of 1011323010321 in words is "one trillion, eleven billion, three hundred twenty-three million, ten thousand, three hundred twenty-one".

Divisors: 1 3 9 13 19 37 39 57 111 117 171 247 333 481 703 741 811 1443 2109 2223 2433 4329 6327 7299 9139 10543 15161 15409 27417 30007 31629 45483 46227 82251 90021 94887 136449 138681 197093 200317 270063 288059 390091 560957 570133 591279 600951 864177 1170273 1682871 1710399 1773837 1802853 2592531 3510819 3744767 5048613 5131197 7292441 7411729 10658183 11234301 12295571 21877323 22235187 31974549 33702903 36886713 65631969 66705561 95923647 110660139 138556379 159842423 233615849 415669137 454936127 479527269 700847547 1247007411 1364808381 1438581807 2102542641 3037006037 4094425143 5914169651 8643786413 9111018111 17742508953 25931359239 27333054333 53227526859 77794077717 112369223369 337107670107 1011323010321