Search a number
-
+
10101001101021 = 324767367971143
BaseRepresentation
bin1001001011111101001010…
…0101010001111011011101
31022202122110010121210111200
42102333102211101323131
52310443322240213041
633252200313110113
72061526136500545
oct222772245217335
938678403553450
1010101001101021
1132448a0875136
1211717849b8339
1358369c19c31c
1426cc69106325
15127b3beca1b6
hex92fd2951edd

10101001101021 has 48 divisors (see below), whose sum is σ = 15164390252544. Its totient is φ = 6474658097952.

The previous prime is 10101001101017. The next prime is 10101001101073. The reversal of 10101001101021 is 12010110010101.

It is not a de Polignac number, because 10101001101021 - 22 = 10101001101017 is a prime.

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 = 10101001100994 and 10101001101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001108021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9915576 + ... + 10886718.

It is an arithmetic number, because the mean of its divisors is an integer number (315924796928).

Almost surely, 210101001101021 is an apocalyptic number.

It is an amenable number.

10101001101021 is a deficient number, since it is larger than the sum of its proper divisors (5063389151523).

10101001101021 is a wasteful number, since it uses less digits than its factorization.

10101001101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971630 (or 971627 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101001101021 its reverse (12010110010101), we get a palindrome (22111111111122).

The spelling of 10101001101021 in words is "ten trillion, one hundred one billion, one million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 47 67 141 201 367 423 603 1101 3149 3303 9447 17249 24589 28341 51747 73767 155241 221301 971143 1155683 2913429 3467049 8740287 10401147 45643721 65066581 136931163 195199743 356409481 410793489 585599229 1069228443 3058129307 3207685329 9174387921 16751245607 23879435227 27523163763 50253736821 71638305681 150761210463 214914917043 1122333455669 3367000367007 10101001101021