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1021013010 = 232523493243
BaseRepresentation
bin111100110110110…
…110110000010010
32122011012211112200
4330312312300102
54042334404020
6245151504030
734205316213
oct7466666022
92564184480
101021013010
11484376206
12245b28016
131336b6714
149985b40a
155e982590
hex3cdb6c12

1021013010 has 48 divisors (see below), whose sum is σ = 2770058304. Its totient is φ = 260431776.

The previous prime is 1021013009. The next prime is 1021013017. The reversal of 1021013010 is 103101201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021012983 and 1021013001.

It is not an unprimeable number, because it can be changed into a prime (1021013017) 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, 244552 + ... + 248691.

It is an arithmetic number, because the mean of its divisors is an integer number (57709548).

Almost surely, 21021013010 is an apocalyptic number.

1021013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021013010 is an abundant number, since it is smaller than the sum of its proper divisors (1749045294).

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

1021013010 is a wasteful number, since it uses less digits than its factorization.

1021013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493279 (or 493276 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1021013010 is about 31953.2941963736. The cubic root of 1021013010 is about 1006.9558407628.

Adding to 1021013010 its reverse (103101201), we get a palindrome (1124114211).

It can be divided in two parts, 102101 and 3010, that added together give a triangular number (105111 = T458).

The spelling of 1021013010 in words is "one billion, twenty-one million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 493243 986486 1479729 2466215 2959458 4439187 4932430 7398645 8878374 11344589 14797290 22195935 22689178 34033767 44391870 56722945 68067534 102101301 113445890 170168835 204202602 340337670 510506505 1021013010