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1021011132 = 2231913732687
BaseRepresentation
bin111100110110110…
…110010010111100
32122011012201222010
4330312312102330
54042334324012
6245151451220
734205310561
oct7466662274
92564181863
101021011132
11484374859
12245b26b10
131336b58cb
149985a868
155e981c3c
hex3cdb64bc

1021011132 has 48 divisors (see below), whose sum is σ = 2526128640. Its totient is φ = 320061312.

The previous prime is 1021011097. The next prime is 1021011157. The reversal of 1021011132 is 2311101201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14893 + ... + 47579.

It is an arithmetic number, because the mean of its divisors is an integer number (52627680).

Almost surely, 21021011132 is an apocalyptic number.

1021011132 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 1021011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263064320).

1021011132 is an abundant number, since it is smaller than the sum of its proper divisors (1505117508).

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

1021011132 is a wasteful number, since it uses less digits than its factorization.

1021011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32850 (or 32848 counting only the distinct ones).

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

The square root of 1021011132 is about 31953.2648097186. The cubic root of 1021011132 is about 1006.9552233811.

Adding to 1021011132 its reverse (2311101201), we get a palindrome (3332112333).

The spelling of 1021011132 in words is "one billion, twenty-one million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2603 5206 7809 10412 15618 31236 32687 65374 98061 130748 196122 392244 621053 1242106 1863159 2484212 3726318 4478119 7452636 8956238 13434357 17912476 26868714 53737428 85084261 170168522 255252783 340337044 510505566 1021011132