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1010001132 = 2232723371699
BaseRepresentation
bin111100001100110…
…110010011101100
32121101111101002100
4330030312103230
54032030014012
6244115455100
734012603500
oct7414662354
92541441070
101010001132
11479134888
122422b7490
1313132c40a
14981d2300
155da098dc
hex3c3364ec

1010001132 has 108 divisors (see below), whose sum is σ = 2980450200. Its totient is φ = 287546112.

The previous prime is 1010001101. The next prime is 1010001133. The reversal of 1010001132 is 2311000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010001133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 593619 + ... + 595317.

Almost surely, 21010001132 is an apocalyptic number.

1010001132 is a gapful number since it is divisible by the number (12) 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 1010001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490225100).

1010001132 is an abundant number, since it is smaller than the sum of its proper divisors (1970449068).

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

1010001132 is a wasteful number, since it uses less digits than its factorization.

1010001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010001132 is about 31780.5149738012. The cubic root of 1010001132 is about 1003.3226583805.

Adding to 1010001132 its reverse (2311000101), we get a palindrome (3321001233).

The spelling of 1010001132 in words is "one billion, ten million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 337 441 588 674 882 1011 1348 1699 1764 2022 2359 3033 3398 4044 4718 5097 6066 6796 7077 9436 10194 11893 12132 14154 15291 16513 20388 21231 23786 28308 30582 33026 35679 42462 47572 49539 61164 66052 71358 83251 84924 99078 107037 142716 148617 166502 198156 214074 249753 297234 333004 428148 499506 572563 594468 749259 999012 1145126 1498518 1717689 2290252 2997036 3435378 4007941 5153067 6870756 8015882 10306134 12023823 16031764 20612268 24047646 28055587 36071469 48095292 56111174 72142938 84166761 112222348 144285876 168333522 252500283 336667044 505000566 1010001132