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1003132020 = 2235117121407
BaseRepresentation
bin111011110010101…
…001010001110100
32120220120101102210
4323302221101310
54023300211040
6243312333420
733600324102
oct7362512164
92526511383
101003132020
11475272a30
1223bb44270
1312ca95957
1497324c72
155d0ee480
hex3bca9474

1003132020 has 96 divisors (see below), whose sum is σ = 3107414016. Its totient is φ = 239747200.

The previous prime is 1003132019. The next prime is 1003132033. The reversal of 1003132020 is 202313001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003131987 and 1003132005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36157 + ... + 57563.

It is an arithmetic number, because the mean of its divisors is an integer number (32368896).

Almost surely, 21003132020 is an apocalyptic number.

1003132020 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 1003132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553707008).

1003132020 is an abundant number, since it is smaller than the sum of its proper divisors (2104281996).

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

1003132020 is a wasteful number, since it uses less digits than its factorization.

1003132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21501 (or 21499 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1003132020 is about 31672.2594710261. The cubic root of 1003132020 is about 1001.0429186093.

Adding to 1003132020 its reverse (202313001), we get a palindrome (1205445021).

The spelling of 1003132020 in words is "one billion, three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 21407 23430 42814 46860 64221 85628 107035 128442 214070 235477 256884 321105 428140 470954 642210 706431 941908 1177385 1284420 1412862 1519897 2354770 2825724 3039794 3532155 4559691 4709540 6079588 7064310 7599485 9119382 14128620 15198970 16718867 18238764 22798455 30397940 33437734 45596910 50156601 66875468 83594335 91193820 100313202 167188670 200626404 250783005 334377340 501566010 1003132020