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1002001020 = 223521179147
BaseRepresentation
bin111011101110010…
…101001001111100
32120211102220222220
4323232111021330
54023003013040
6243232205340
733554603526
oct7356251174
92524386886
101002001020
11474670219
1223b699850
1312c78ac17
149710ca16
155ce792d0
hex3bb9527c

1002001020 has 48 divisors (see below), whose sum is σ = 2818935168. Its totient is φ = 265930560.

The previous prime is 1002000997. The next prime is 1002001057. The reversal of 1002001020 is 201002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 26914 + ... + 52233.

It is an arithmetic number, because the mean of its divisors is an integer number (58727816).

Almost surely, 21002001020 is an apocalyptic number.

1002001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001020 is an abundant number, since it is smaller than the sum of its proper divisors (1816934148).

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

1002001020 is a wasteful number, since it uses less digits than its factorization.

1002001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79370 (or 79368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1002001020 is about 31654.3996941973. The cubic root of 1002001020 is about 1000.6665622627. Note that the first 3 decimals are identical.

Adding to 1002001020 its reverse (201002001), we get a palindrome (1203003021).

The spelling of 1002001020 in words is "one billion, two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 422 633 844 1055 1266 2110 2532 3165 4220 6330 12660 79147 158294 237441 316588 395735 474882 791470 949764 1187205 1582940 2374410 4748820 16700017 33400034 50100051 66800068 83500085 100200102 167000170 200400204 250500255 334000340 501000510 1002001020