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10122002020 = 2251338930777
BaseRepresentation
bin10010110110101000…
…10111111001100100
3222010102022222102201
421123110113321210
5131212213031040
64352221344244
7505555411654
oct113324277144
928112288381
1010122002020
114324673a29
121b65a08084
13c54065710
146c0440364
153e395ba9a
hex25b517e64

10122002020 has 24 divisors (see below), whose sum is σ = 22891297464. Its totient is φ = 3737354496.

The previous prime is 10122002017. The next prime is 10122002027. The reversal of 10122002020 is 2020022101.

It can be written as a sum of positive squares in 4 ways, for example, as 66324736 + 10055677284 = 8144^2 + 100278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10122001988 and 10122002006.

It is not an unprimeable number, because it can be changed into a prime (10122002027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19465129 + ... + 19465648.

It is an arithmetic number, because the mean of its divisors is an integer number (953804061).

Almost surely, 210122002020 is an apocalyptic number.

10122002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122002020 is an abundant number, since it is smaller than the sum of its proper divisors (12769295444).

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

10122002020 is a wasteful number, since it uses less digits than its factorization.

10122002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38930799 (or 38930797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10122002020 its reverse (2020022101), we get a palindrome (12142024121).

The spelling of 10122002020 in words is "ten billion, one hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 38930777 77861554 155723108 194653885 389307770 506100101 778615540 1012200202 2024400404 2530500505 5061001010 10122002020