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10022002101 = 35277148891
BaseRepresentation
bin10010101010101101…
…11001110110110101
3221212110011110100000
421111112321312311
5131011113031401
64334250141513
7503232420006
oct112526716665
927773143300
1010022002101
114283182571
121b38421899
13c39421c77
146b104d1ad
153d9ca7186
hex2555b9db5

10022002101 has 24 divisors (see below), whose sum is σ = 15066679264. Its totient is φ = 6657169680.

The previous prime is 10022002063. The next prime is 10022002117. The reversal of 10022002101 is 10120022001.

It is not a de Polignac number, because 10022002101 - 222 = 10017807797 is a prime.

It is a super-2 number, since 2×100220021012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022002141) 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, 7135 + ... + 141756.

Almost surely, 210022002101 is an apocalyptic number.

It is an amenable number.

10022002101 is a deficient number, since it is larger than the sum of its proper divisors (5044677163).

10022002101 is an equidigital number, since it uses as much as digits as its factorization.

10022002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149183 (or 149171 counting only the distinct ones).

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

Adding to 10022002101 its reverse (10120022001), we get a palindrome (20142024102).

The spelling of 10022002101 in words is "ten billion, twenty-two million, two thousand, one hundred one".

Divisors: 1 3 9 27 81 243 277 831 2493 7479 22437 67311 148891 446673 1340019 4020057 12060171 36180513 41242807 123728421 371185263 1113555789 3340667367 10022002101