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1010331020 = 225413833217
BaseRepresentation
bin111100001110000…
…110110110001100
32121102010010121102
4330032012312030
54032121043040
6244130522232
734015446326
oct7416066614
92542103542
101010331020
1147933a716
12242436378
1313141660a
149827a616
155da72515
hex3c386d8c

1010331020 has 48 divisors (see below), whose sum is σ = 2179795968. Its totient is φ = 393123840.

The previous prime is 1010331001. The next prime is 1010331043. The reversal of 1010331020 is 201330101.

1010331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010330992 and 1010331010.

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, 312452 + ... + 315668.

It is an arithmetic number, because the mean of its divisors is an integer number (45412416).

Almost surely, 21010331020 is an apocalyptic number.

1010331020 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 1010331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089897984).

1010331020 is an abundant number, since it is smaller than the sum of its proper divisors (1169464948).

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

1010331020 is a wasteful number, since it uses less digits than its factorization.

1010331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1010331020 is about 31785.7046484737. The cubic root of 1010331020 is about 1003.4318820456.

Adding to 1010331020 its reverse (201330101), we get a palindrome (1211661121).

The spelling of 1010331020 in words is "one billion, ten million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 383 410 766 820 1532 1915 3217 3830 6434 7660 12868 15703 16085 31406 32170 62812 64340 78515 131897 157030 263794 314060 527588 659485 1232111 1318970 2464222 2637940 4928444 6160555 12321110 24642220 50516551 101033102 202066204 252582755 505165510 1010331020