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1011032140 = 225312396823
BaseRepresentation
bin111100010000110…
…010000001001100
32121110102202100211
4330100302001030
54032311012030
6244153532204
734024426366
oct7420620114
92543382324
101011032140
11479779458
12242714064
13131600791
14983bdd36
155db6012a
hex3c43204c

1011032140 has 48 divisors (see below), whose sum is σ = 2201149440. Its totient is φ = 389672640.

The previous prime is 1011032111. The next prime is 1011032159. The reversal of 1011032140 is 412301101.

It is a super-2 number, since 2×10110321402 = 2044371976225959200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011032140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144769 + ... + 151591.

It is an arithmetic number, because the mean of its divisors is an integer number (45857280).

Almost surely, 21011032140 is an apocalyptic number.

1011032140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100574720).

1011032140 is an abundant number, since it is smaller than the sum of its proper divisors (1190117300).

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

1011032140 is a wasteful number, since it uses less digits than its factorization.

1011032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1011032140 is about 31796.7315930427. The cubic root of 1011032140 is about 1003.6639391544.

Adding to 1011032140 its reverse (412301101), we get a palindrome (1423333241).

The spelling of 1011032140 in words is "one billion, eleven million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 239 310 478 620 956 1195 2390 4780 6823 7409 13646 14818 27292 29636 34115 37045 68230 74090 136460 148180 211513 423026 846052 1057565 1630697 2115130 3261394 4230260 6522788 8153485 16306970 32613940 50551607 101103214 202206428 252758035 505516070 1011032140