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10221272435 = 511672819871
BaseRepresentation
bin10011000010011110…
…00011110101110011
3222101100010102211202
421201033003311303
5131413121204220
64410125201415
7511202245043
oct114117036563
928340112752
1010221272435
1143757072a0
121b9310026b
13c6b7b20ca
146cd6c1723
153ec51a275
hex2613c3d73

10221272435 has 32 divisors (see below), whose sum is σ = 13629993984. Its totient is φ = 7295904000.

The previous prime is 10221272419. The next prime is 10221272447. The reversal of 10221272435 is 53427212201.

10221272435 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 10221272435 - 24 = 10221272419 is a prime.

It is a super-3 number, since 3×102212724353 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221272398 and 10221272407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030550 + ... + 1040420.

It is an arithmetic number, because the mean of its divisors is an integer number (425937312).

Almost surely, 210221272435 is an apocalyptic number.

10221272435 is a deficient number, since it is larger than the sum of its proper divisors (3408721549).

10221272435 is a wasteful number, since it uses less digits than its factorization.

10221272435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235.

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 10221272435 its reverse (53427212201), we get a palindrome (63648484636).

The spelling of 10221272435 in words is "ten billion, two hundred twenty-one million, two hundred seventy-two thousand, four hundred thirty-five".

Divisors: 1 5 11 55 67 281 335 737 1405 3091 3685 9871 15455 18827 49355 94135 108581 207097 542905 661357 1035485 2773751 3306785 7274927 13868755 30511261 36374635 152556305 185841317 929206585 2044254487 10221272435