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1020021132 = 223132677507
BaseRepresentation
bin111100110011000…
…100100110001100
32122002100102221110
4330303010212030
54042111134012
6245114332020
734164015354
oct7463044614
92562312843
101020021132
11483858a79
1224572a010
1313342a100
149967db64
155e83873c
hex3ccc498c

1020021132 has 72 divisors (see below), whose sum is σ = 2616027456. Its totient is φ = 309127104.

The previous prime is 1020021127. The next prime is 1020021133. The reversal of 1020021132 is 2311200201.

It is a super-2 number, since 2×10200211322 = 2080886219453122848, 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 (1020021133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132123 + ... + 139629.

Almost surely, 21020021132 is an apocalyptic number.

1020021132 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 1020021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308013728).

1020021132 is an abundant number, since it is smaller than the sum of its proper divisors (1596006324).

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

1020021132 is a wasteful number, since it uses less digits than its factorization.

1020021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7607 (or 7592 counting only the distinct ones).

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

The square root of 1020021132 is about 31937.7696779221. The cubic root of 1020021132 is about 1006.6296611301.

Adding to 1020021132 its reverse (2311200201), we get a palindrome (3331221333).

The spelling of 1020021132 in words is "one billion, twenty million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 169 201 268 338 402 507 676 804 871 1014 1742 2028 2613 3484 5226 7507 10452 11323 15014 22521 22646 30028 33969 45042 45292 67938 90084 97591 135876 195182 292773 390364 502969 585546 1005938 1171092 1268683 1508907 2011876 2537366 3017814 3806049 5074732 6035628 6538597 7612098 13077194 15224196 19615791 26154388 39231582 78463164 85001761 170003522 255005283 340007044 510010566 1020021132