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10011202101 = 334112771209
BaseRepresentation
bin10010101001011011…
…01101001000110101
3221211200211202112000
421110231231020311
5131000331431401
64333222445513
7503041546065
oct112455551065
927750752460
1010011202101
11427807634a
121b34893899
13c37110234
146ad83b3a5
153d8d72186
hex254b6d235

10011202101 has 32 divisors (see below), whose sum is σ = 15312998400. Its totient is φ = 6459989760.

The previous prime is 10011202067. The next prime is 10011202139. The reversal of 10011202101 is 10120211001.

It is a happy number.

10011202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011202101 - 219 = 10010677813 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104985 + ... + 176193.

It is an arithmetic number, because the mean of its divisors is an integer number (478531200).

Almost surely, 210011202101 is an apocalyptic number.

It is an amenable number.

10011202101 is a deficient number, since it is larger than the sum of its proper divisors (5301796299).

10011202101 is a wasteful number, since it uses less digits than its factorization.

10011202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71386 (or 71380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011202101 its reverse (10120211001), we get a palindrome (20131413102).

The spelling of 10011202101 in words is "ten billion, eleven million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 27 41 123 127 369 381 1107 1143 3429 5207 15621 46863 71209 140589 213627 640881 1922643 2919569 8758707 9043543 26276121 27130629 78828363 81391887 244175661 370785263 1112355789 3337067367 10011202101