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10101001122 = 2321937977929
BaseRepresentation
bin10010110100001000…
…10000101110100010
3222001221211000121200
421122010100232202
5131141324013442
64350151302030
7505212043602
oct113204205642
928057730550
1010101001122
11431382a713
121b5a97a916
13c4c8c1854
146bb734c02
153e1bae34c
hex25a110ba2

10101001122 has 48 divisors (see below), whose sum is σ = 23098452000. Its totient is φ = 3181332672.

The previous prime is 10101001037. The next prime is 10101001123. The reversal of 10101001122 is 22110010101.

Adding to 10101001122 its reverse (22110010101), we get a palindrome (32211011223).

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10101001123) 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 23 ways as a sum of consecutive naturals, for example, 90654 + ... + 168582.

It is an arithmetic number, because the mean of its divisors is an integer number (481217750).

Almost surely, 210101001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549226000).

10101001122 is an abundant number, since it is smaller than the sum of its proper divisors (12997450878).

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

10101001122 is a wasteful number, since it uses less digits than its factorization.

10101001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78335 (or 78332 counting only the distinct ones).

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

The spelling of 10101001122 in words is "ten billion, one hundred one million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 379 758 1137 2274 3411 6822 7201 14402 21603 43206 64809 77929 129618 155858 233787 467574 701361 1402722 1480651 2961302 4441953 8883906 13325859 26651718 29535091 59070182 88605273 177210546 265815819 531631638 561166729 1122333458 1683500187 3367000374 5050500561 10101001122