Search a number
-
+
1202122000134 = 233112357858623
BaseRepresentation
bin10001011111100100000…
…011100000011100000110
311020220212221121212221000
4101133210003200130012
5124143421213001014
62320125222234130
7152564463256236
oct21374403403406
94226787555830
101202122000134
114238a9591210
12174b90285946
138948a1094a3
144227c29dcc6
152140b14b509
hex117e40e0706

1202122000134 has 64 divisors (see below), whose sum is σ = 2915474964480. Its totient is φ = 364124417760.

The previous prime is 1202122000133. The next prime is 1202122000139. The reversal of 1202122000134 is 4310002212021.

It is a happy number.

1202122000134 is a `hidden beast` number, since 120 + 212 + 200 + 0 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202122000133) 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, 970747 + ... + 1829369.

It is an arithmetic number, because the mean of its divisors is an integer number (45554296320).

Almost surely, 21202122000134 is an apocalyptic number.

1202122000134 is an abundant number, since it is smaller than the sum of its proper divisors (1713352964346).

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

1202122000134 is a wasteful number, since it uses less digits than its factorization.

1202122000134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861002 (or 860996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1202122000134 its reverse (4310002212021), we get a palindrome (5512124212155).

The spelling of 1202122000134 in words is "one trillion, two hundred two billion, one hundred twenty-two million, one hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 2357 4714 7071 14142 21213 25927 42426 51854 63639 77781 127278 155562 233343 466686 700029 858623 1400058 1717246 2575869 5151738 7727607 9444853 15455214 18889706 23182821 28334559 46365642 56669118 85003677 170007354 255011031 510022062 2023774411 4047548822 6071323233 12142646466 18213969699 22261518521 36427939398 44523037042 54641909097 66784555563 109283818194 133569111126 200353666689 400707333378 601061000067 1202122000134