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1021133223 = 34117989163
BaseRepresentation
bin111100110111010…
…100000110100111
32122011102221110000
4330313110012213
54042402230343
6245154232343
734206326535
oct7467240647
92564387400
101021133223
11484448560
12245b856b3
13133729356
149988d155
155e9a7ed3
hex3cdd41a7

1021133223 has 80 divisors (see below), whose sum is σ = 1714521600. Its totient is φ = 600462720.

The previous prime is 1021133221. The next prime is 1021133251. The reversal of 1021133223 is 3223311201.

It is not a de Polignac number, because 1021133223 - 21 = 1021133221 is a prime.

It is a super-2 number, since 2×10211332232 = 2085426118228735458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021133196 and 1021133205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021133221) 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 79 ways as a sum of consecutive naturals, for example, 6264540 + ... + 6264702.

It is an arithmetic number, because the mean of its divisors is an integer number (21431520).

Almost surely, 21021133223 is an apocalyptic number.

1021133223 is a deficient number, since it is larger than the sum of its proper divisors (693388377).

1021133223 is a wasteful number, since it uses less digits than its factorization.

1021133223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

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

The square root of 1021133223 is about 31955.1752146659. The cubic root of 1021133223 is about 1006.9953585198.

Adding to 1021133223 its reverse (3223311201), we get a palindrome (4244444424).

It can be divided in two parts, 10211 and 33223, that added together give a palindrome (43434).

The spelling of 1021133223 in words is "one billion, twenty-one million, one hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 79 81 89 99 163 237 267 297 489 711 801 869 891 979 1467 1793 2133 2403 2607 2937 4401 5379 6399 7031 7209 7821 8811 12877 13203 14507 16137 21093 23463 26433 38631 43521 48411 63279 70389 77341 79299 115893 130563 141647 145233 159577 189837 232023 347679 391689 424941 478731 569511 696069 1043037 1146053 1175067 1274823 1436193 2088207 3438159 3824469 4308579 6264621 10314477 11473407 12606583 12925737 30943431 37819749 92830293 113459247 340377741 1021133223