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1000101020 = 225181431641
BaseRepresentation
bin111011100111000…
…101010010011100
32120200212101200112
4323213011102130
54022011213040
6243123345152
733532501262
oct7347052234
92520771615
101000101020
11473592776
1223ab221b8
1312c274169
1496b76432
155cc01365
hex3b9c549c

1000101020 has 48 divisors (see below), whose sum is σ = 2120017536. Its totient is φ = 396288000.

The previous prime is 1000100999. The next prime is 1000101079. The reversal of 1000101020 is 201010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 1000100995 and 1000101013.

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, 1559900 + ... + 1560540.

It is an arithmetic number, because the mean of its divisors is an integer number (44167032).

Almost surely, 21000101020 is an apocalyptic number.

1000101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101020 is an abundant number, since it is smaller than the sum of its proper divisors (1119916516).

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

1000101020 is a wasteful number, since it uses less digits than its factorization.

1000101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1000101020 is about 31624.3738277930. The cubic root of 1000101020 is about 1000.0336721995.

Adding to 1000101020 its reverse (201010001), we get a palindrome (1201111021).

The spelling of 1000101020 in words is "one billion, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 431 641 724 862 905 1282 1724 1810 2155 2564 3205 3620 4310 6410 8620 12820 78011 116021 156022 232042 276271 312044 390055 464084 552542 580105 780110 1105084 1160210 1381355 1560220 2320420 2762710 5525420 50005051 100010102 200020204 250025255 500050510 1000101020