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10233434211 = 37111331372971
BaseRepresentation
bin10011000011111010…
…11101000001100011
3222102012000022122220
421201331131001203
5131424224343321
64411242002123
7511410520110
oct114175350143
928365008586
1010233434211
114381563650
121b971a6343
13c7117c920
146d1169907
153ed61d9c6
hex261f5d063

10233434211 has 128 divisors (see below), whose sum is σ = 19428605952. Its totient is φ = 4618944000.

The previous prime is 10233434209. The next prime is 10233434213. The reversal of 10233434211 is 11243433201.

It is a happy number.

10233434211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10233434209) and next prime (10233434213).

It is not a de Polignac number, because 10233434211 - 21 = 10233434209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10233434213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3442956 + ... + 3445926.

It is an arithmetic number, because the mean of its divisors is an integer number (151785984).

Almost surely, 210233434211 is an apocalyptic number.

10233434211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10233434211 is a deficient number, since it is larger than the sum of its proper divisors (9195171741).

10233434211 is a wasteful number, since it uses less digits than its factorization.

10233434211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10233434211 its reverse (11243433201), we get a palindrome (21476867412).

It can be divided in two parts, 10233 and 434211, that added together give a palindrome (444444).

The spelling of 10233434211 in words is "ten billion, two hundred thirty-three million, four hundred thirty-four thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 31 33 37 39 77 91 93 111 143 217 231 259 273 341 403 407 429 481 651 777 1001 1023 1147 1209 1221 1443 2387 2821 2849 2971 3003 3367 3441 4433 5291 7161 8029 8463 8547 8913 10101 12617 13299 14911 15873 20797 24087 31031 32681 37037 37851 38623 44733 62391 88319 92101 93093 98043 104377 109927 111111 115869 164021 228767 264957 270361 276303 313131 329781 424853 492063 644707 686301 769489 811083 1013111 1148147 1197313 1209197 1274559 1429051 1934121 2308467 2973971 3039333 3407737 3444441 3591939 3627591 4287153 7091777 8381191 8464379 8921913 10003357 10223211 13170443 15719561 21275331 23854159 25143573 25393137 30010071 37485107 39511329 44300581 47158683 71562477 92193101 110036927 112455321 132901743 262395749 276579303 310104067 330110781 487306391 787187247 930312201 1461919173 3411144737 10233434211