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10221321033 = 32711411632207
BaseRepresentation
bin10011000010011110…
…01111101101001001
3222101100012220111200
421201033033231021
5131413124233113
64410130214413
7511202536530
oct114117175511
928340186450
1010221321033
11437573a860
121b93124409
13c6b7cb271
146cd6d5317
153ec529873
hex2613cfb49

10221321033 has 96 divisors (see below), whose sum is σ = 18980462592. Its totient is φ = 5146156800.

The previous prime is 10221321007. The next prime is 10221321067. The reversal of 10221321033 is 33012312201.

10221321033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221321033 - 25 = 10221321001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221320997 and 10221321015.

It is not an unprimeable number, because it can be changed into a prime (10221321133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4630216 + ... + 4632422.

It is an arithmetic number, because the mean of its divisors is an integer number (197713152).

Almost surely, 210221321033 is an apocalyptic number.

It is an amenable number.

10221321033 is a deficient number, since it is larger than the sum of its proper divisors (8759141559).

10221321033 is a wasteful number, since it uses less digits than its factorization.

10221321033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10221321033 its reverse (33012312201), we get a palindrome (43233633234).

It can be divided in two parts, 1022132 and 1033, that added together give a triangular number (1023165 = T1430).

The spelling of 10221321033 in words is "ten billion, two hundred twenty-one million, three hundred twenty-one thousand, thirty-three".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 163 231 287 369 451 489 693 861 1141 1353 1467 1793 2207 2583 3157 3423 4059 5379 6621 6683 9471 10269 12551 15449 16137 19863 20049 24277 28413 37653 46347 46781 60147 72831 73513 90487 112959 139041 140343 169939 218493 220539 271461 359741 421029 509817 514591 633409 661617 814383 995357 1079223 1529451 1543773 1900227 2518187 2986071 3237669 3957151 4631319 5700681 6967499 7554561 8958213 11871453 14749381 20902497 22663683 27700057 35614359 44248143 62707491 83100171 103245667 132744429 162243191 249300513 309737001 486729573 929211003 1135702337 1460188719 3407107011 10221321033