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1011220434 = 232731376997
BaseRepresentation
bin111100010001011…
…111111111010010
32121110210022122200
4330101133333102
54032333023214
6244201544030
734026142350
oct7421377722
92543708580
101011220434
11479897974
122427a5016
131316683b3
149842c7d0
155db9ad09
hex3c45ffd2

1011220434 has 96 divisors (see below), whose sum is σ = 2654985216. Its totient is φ = 272004480.

The previous prime is 1011220421. The next prime is 1011220439. The reversal of 1011220434 is 4340221101.

1011220434 is a `hidden beast` number, since 1 + 0 + 11 + 220 + 434 = 666.

It is a super-2 number, since 2×10112204342 = 2045133532278296712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1011220439) 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 47 ways as a sum of consecutive naturals, for example, 141024 + ... + 148020.

It is an arithmetic number, because the mean of its divisors is an integer number (27656096).

Almost surely, 21011220434 is an apocalyptic number.

1011220434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011220434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327492608).

1011220434 is an abundant number, since it is smaller than the sum of its proper divisors (1643764782).

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

1011220434 is a wasteful number, since it uses less digits than its factorization.

1011220434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1011220434 is about 31799.6923570024. The cubic root of 1011220434 is about 1003.7262425371.

Adding to 1011220434 its reverse (4340221101), we get a palindrome (5351441535).

It can be divided in two parts, 1011 and 220434, that added together give a triangular number (221445 = T665).

The spelling of 1011220434 in words is "one billion, eleven million, two hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 37 42 62 63 74 93 111 126 186 217 222 259 279 333 434 518 558 651 666 777 1147 1302 1554 1953 2294 2331 3441 3906 4662 6882 6997 8029 10323 13994 16058 20646 20991 24087 41982 48174 48979 62973 72261 97958 125946 144522 146937 216907 258889 293874 433814 440811 517778 650721 776667 881622 1301442 1518349 1553334 1812223 1952163 2330001 3036698 3624446 3904326 4555047 4660002 5436669 8025559 9110094 10873338 13665141 16051118 16310007 24076677 27330282 32620014 48153354 56178913 72230031 112357826 144460062 168536739 337073478 505610217 1011220434