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1002301020 = 223357535003
BaseRepresentation
bin111011101111011…
…110011001011100
32120212000011112000
4323233132121130
54023042113040
6243242442300
733560263260
oct7357363134
92525004460
101002301020
11474855656
1223b803390
1312c864636
149718a0a0
155ced8130
hex3bbde65c

1002301020 has 192 divisors, whose sum is σ = 3631703040. Its totient is φ = 224729856.

The previous prime is 1002301007. The next prime is 1002301033. The reversal of 1002301020 is 201032001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002301007) and next prime (1002301033).

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 = 1002300993 and 1002301011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197839 + ... + 202841.

It is an arithmetic number, because the mean of its divisors is an integer number (18915120).

Almost surely, 21002301020 is an apocalyptic number.

1002301020 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 1002301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815851520).

1002301020 is an abundant number, since it is smaller than the sum of its proper divisors (2629402020).

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

1002301020 is a wasteful number, since it uses less digits than its factorization.

1002301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1002301020 is about 31659.1380173245. The cubic root of 1002301020 is about 1000.7664191183.

Adding to 1002301020 its reverse (201032001), we get a palindrome (1203333021).

The spelling of 1002301020 in words is "one billion, two million, three hundred one thousand, twenty".