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1001012232 = 2331129312941
BaseRepresentation
bin111011101010100…
…011110000001000
32120202120200122010
4323222203300020
54022224342412
6243155055520
733543315003
oct7352436010
92522520563
101001012232
11474055340
1223b2a15a0
1312c502b3c
1496d3253a
155cd3133c
hex3baa3c08

1001012232 has 64 divisors (see below), whose sum is σ = 2739562560. Its totient is φ = 302278400.

The previous prime is 1001012203. The next prime is 1001012237. The reversal of 1001012232 is 2322101001.

It is a super-2 number, since 2×10010122322 = 2004050977227243648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001012237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70882 + ... + 83822.

It is an arithmetic number, because the mean of its divisors is an integer number (42805665).

Almost surely, 21001012232 is an apocalyptic number.

1001012232 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 1001012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369781280).

1001012232 is an abundant number, since it is smaller than the sum of its proper divisors (1738550328).

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

1001012232 is a wasteful number, since it uses less digits than its factorization.

1001012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13254 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001012232 is about 31638.7773467939. Note that the first 3 decimals coincide. The cubic root of 1001012232 is about 1000.3372968847.

Adding to 1001012232 its reverse (2322101001), we get a palindrome (3323113233).

The spelling of 1001012232 in words is "one billion, one million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 293 586 879 1172 1758 2344 3223 3516 6446 7032 9669 12892 12941 19338 25784 25882 38676 38823 51764 77352 77646 103528 142351 155292 284702 310584 427053 569404 854106 1138808 1708212 3416424 3791713 7583426 11375139 15166852 22750278 30333704 41708843 45500556 83417686 91001112 125126529 166835372 250253058 333670744 500506116 1001012232