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1302112211201 = 171091195358789
BaseRepresentation
bin10010111100101011111…
…011111001000100000001
311121110222102211220021122
4102330223323321010001
5132313211211224301
62434103155402025
7163034361114464
oct22745373710401
94543872756248
101302112211201
1146224a44078a
121904368b3315
1395a3389c459
1447045cd32db
1523d0e5a081b
hex12f2bef9101

1302112211201 has 16 divisors (see below), whose sum is σ = 1391495806800. Its totient is φ = 1214151856128.

The previous prime is 1302112211171. The next prime is 1302112211209. The reversal of 1302112211201 is 1021122112031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 691307439601 + 610804771600 = 831449^2 + 781540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1302112211201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1302112211201.

It is not an unprimeable number, because it can be changed into a prime (1302112211209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22119515 + ... + 22178303.

It is an arithmetic number, because the mean of its divisors is an integer number (86968487925).

Almost surely, 21302112211201 is an apocalyptic number.

It is an amenable number.

1302112211201 is a deficient number, since it is larger than the sum of its proper divisors (89383595599).

1302112211201 is a wasteful number, since it uses less digits than its factorization.

1302112211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70868.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1302112211201 its reverse (1021122112031), we get a palindrome (2323234323232).

The spelling of 1302112211201 in words is "one trillion, three hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred one".

Divisors: 1 17 109 1853 11953 58789 203201 999413 1302877 6408001 22148909 108936017 702704917 11945983589 76594835953 1302112211201