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10101002020 = 2252336073571
BaseRepresentation
bin10010110100001000…
…10000111100100100
3222001221211001211221
421122010100330210
5131141324031040
64350151310124
7505212046324
oct113204207444
928057731757
1010101002020
11431383035a
121b5a97b344
13c4c8c2095
146bb735284
153e1bae74a
hex25a110f24

10101002020 has 48 divisors (see below), whose sum is σ = 21344214528. Its totient is φ = 4015307520.

The previous prime is 10101001973. The next prime is 10101002027. The reversal of 10101002020 is 2020010101.

It is a junction number, because it is equal to n+sod(n) for n = 10101001994 and 10101002012.

It is not an unprimeable number, because it can be changed into a prime (10101002027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826835 + ... + 2830405.

It is an arithmetic number, because the mean of its divisors is an integer number (444671136).

Almost surely, 210101002020 is an apocalyptic number.

10101002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101002020 is an abundant number, since it is smaller than the sum of its proper divisors (11243212508).

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

10101002020 is a wasteful number, since it uses less digits than its factorization.

10101002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10101002020 its reverse (2020010101), we get a palindrome (12121012121).

The spelling of 10101002020 in words is "ten billion, one hundred one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 233 466 607 932 1165 1214 2330 2428 3035 3571 4660 6070 7142 12140 14284 17855 35710 71420 141431 282862 565724 707155 832043 1414310 1664086 2167597 2828620 3328172 4160215 4335194 8320430 8670388 10837985 16640860 21675970 43351940 505050101 1010100202 2020200404 2525250505 5050501010 10101002020