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202211302331129 = 71321922229404713
BaseRepresentation
bin101101111110100011111100…
…110110000101001011111001
3222111222012201100002111121112
4231332203330312011023321
5203001012221344044004
61554022331224450105
760410166402101360
oct5576437466051371
9874865640074545
10202211302331129
1159481371589a63
121a819aa4019935
1388aa5a05a2900
1437d11176847d7
151859ea789ee6e
hexb7e8fcd852f9

202211302331129 has 48 divisors (see below), whose sum is σ = 263426076201600. Its totient is φ = 151563569084928.

The previous prime is 202211302331083. The next prime is 202211302331141. The reversal of 202211302331129 is 921133203112202.

It is not a de Polignac number, because 202211302331129 - 212 = 202211302327033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202211302331095 and 202211302331104.

It is not an unprimeable number, because it can be changed into a prime (202211302330129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499438877 + ... + 499843589.

It is an arithmetic number, because the mean of its divisors is an integer number (5488043254200).

Almost surely, 2202211302331129 is an apocalyptic number.

It is an amenable number.

202211302331129 is a deficient number, since it is larger than the sum of its proper divisors (61214773870471).

202211302331129 is a wasteful number, since it uses less digits than its factorization.

202211302331129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426994 (or 426981 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 202211302331129 in words is "two hundred two trillion, two hundred eleven billion, three hundred two million, three hundred thirty-one thousand, one hundred twenty-nine".

Divisors: 1 7 13 19 91 133 169 247 1183 1729 3211 22229 22477 155603 288977 404713 422351 2022839 2832991 2956457 3756701 5261269 5490563 7689547 26296907 36828883 38433941 53826829 68396497 71377319 99964111 478775479 499641233 699748777 1299533443 8996365277 9096734101 62974556939 116952748601 170930940263 818669240207 1196516581841 1520385731813 2222102223419 10642700122691 15554715563933 28887328904447 202211302331129