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10100201022 = 2323730414987
BaseRepresentation
bin10010110100000010…
…01101011000111110
3222001220022101002100
421122001031120332
5131141122413042
64350122205530
7505202202132
oct113201153076
928056271070
1010100201022
11431333357a
121b5a6538a6
13c4c6a1612
146bb5a73c2
153e1aa224c
hex25a04d63e

10100201022 has 48 divisors (see below), whose sum is σ = 22487121072. Its totient is φ = 3274007040.

The previous prime is 10100201011. The next prime is 10100201029. The reversal of 10100201022 is 22010200101.

It is a super-3 number, since 3×101002010223 (a number of 31 digits) contains 333 as substring.

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 = 10100200995 and 10100201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2022813 + ... + 2027799.

It is an arithmetic number, because the mean of its divisors is an integer number (468481689).

Almost surely, 210100201022 is an apocalyptic number.

10100201022 is an abundant number, since it is smaller than the sum of its proper divisors (12386920050).

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

10100201022 is a wasteful number, since it uses less digits than its factorization.

10100201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100201022 its reverse (22010200101), we get a palindrome (32110401123).

The spelling of 10100201022 in words is "ten billion, one hundred million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3041 4987 6082 9123 9974 14961 18246 27369 29922 44883 54738 89766 112517 184519 225034 337551 369038 553557 675102 1012653 1107114 1660671 2025306 3321342 15165467 30330934 45496401 90992802 136489203 272978406 561122279 1122244558 1683366837 3366733674 5050100511 10100201022