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10101001001022 = 23534982971837
BaseRepresentation
bin1001001011111101001010…
…0100111001100000111110
31022202122110010102201100000
42102333102210321200332
52310443322224013042
633252200311015130
72061526135603161
oct222772244714076
938678403381300
1010101001001022
1132448a0806a98
12117178496a4a6
1358369c165959
1426cc690bbad8
15127b3beaa74c
hex92fd293983e

10101001001022 has 96 divisors (see below), whose sum is σ = 22788881388000. Its totient is φ = 3353256206208.

The previous prime is 10101001001017. The next prime is 10101001001107. The reversal of 10101001001022 is 22010010010101.

It is a happy number.

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 = 10101001000995 and 10101001001013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140574088 + ... + 140645924.

It is an arithmetic number, because the mean of its divisors is an integer number (237384181125).

Almost surely, 210101001001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101001001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394440694000).

10101001001022 is an abundant number, since it is smaller than the sum of its proper divisors (12687880386978).

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

10101001001022 is an equidigital number, since it uses as much as digits as its factorization.

10101001001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73032 (or 73020 counting only the distinct ones).

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

Adding to 10101001001022 its reverse (22010010010101), we get a palindrome (32111011011123).

The spelling of 10101001001022 in words is "ten trillion, one hundred one billion, one million, one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 349 486 698 829 1047 1658 2094 2487 3141 4974 6282 7461 9423 14922 18846 22383 28269 44766 56538 67149 71837 84807 134298 143674 169614 201447 215511 289321 402894 431022 578642 646533 867963 1293066 1735926 1939599 2603889 3879198 5207778 5818797 7811667 11637594 15623334 17456391 23435001 25071113 34912782 46870002 50142226 59552873 70305003 75213339 119105746 140610006 150426678 178658619 225640017 357317238 451280034 535975857 676920051 1071951714 1353840102 1607927571 2030760153 3215855142 4061520306 4823782713 6092280459 9647565426 12184560918 14471348139 20783952677 28942696278 41567905354 62351858031 124703716062 187055574093 374111148186 561166722279 1122333444558 1683500166837 3367000333674 5050500500511 10101001001022