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10333213422 = 23719671571231
BaseRepresentation
bin10011001111110100…
…00101001011101110
3222200010202122000020
421213322011023232
5132130300312142
64425204343010
7514031602440
oct114772051356
928603678006
1010333213422
114422914204
1220046a4a66
13c88a46a8c
14700500490
1540727ccec
hex267e852ee

10333213422 has 128 divisors (see below), whose sum is σ = 25414287360. Its totient is φ = 2735441280.

The previous prime is 10333213421. The next prime is 10333213453. The reversal of 10333213422 is 22431233301.

It is a junction number, because it is equal to n+sod(n) for n = 10333213392 and 10333213401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333213421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8393547 + ... + 8394777.

It is an arithmetic number, because the mean of its divisors is an integer number (198549120).

Almost surely, 210333213422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10333213422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707143680).

10333213422 is an abundant number, since it is smaller than the sum of its proper divisors (15081073938).

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

10333213422 is a wasteful number, since it uses less digits than its factorization.

10333213422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10333213422 its reverse (22431233301), we get a palindrome (32764446723).

The spelling of 10333213422 in words is "ten billion, three hundred thirty-three million, two hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 67 114 133 134 157 201 266 314 399 402 469 471 798 938 942 1099 1231 1273 1407 2198 2462 2546 2814 2983 3297 3693 3819 5966 6594 7386 7638 8617 8911 8949 10519 17234 17822 17898 20881 21038 23389 25851 26733 31557 41762 46778 51702 53466 62643 63114 70167 73633 82477 125286 140334 147266 163723 164954 193267 199861 220899 247431 327446 386534 399722 441798 491169 494862 577339 579801 599583 982338 1154678 1159602 1199166 1352869 1399027 1567063 1732017 2705738 2798054 3134126 3464034 3672073 4058607 4197081 4701189 7344146 8117214 8394162 9402378 10969441 11016219 12948889 21938882 22032438 25704511 25897778 32908323 38846667 51409022 65816646 77113533 77693334 90642223 154227066 181284446 246028891 271926669 492057782 543853338 738086673 1476173346 1722202237 3444404474 5166606711 10333213422