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135225100101 = 37131740172661
BaseRepresentation
bin111110111110000001…
…0110100011101000101
3110221001001212211110210
41331330002310131011
54203420111200401
6142042131110033
712525001246230
oct1757402643505
9427031784423
10135225100101
1152392053183
122225a742319
13c9a0568340
14678b404417
1537b69314d6
hex1f7c0b4745

135225100101 has 64 divisors (see below), whose sum is σ = 235550439936. Its totient is φ = 66963456000.

The previous prime is 135225100097. The next prime is 135225100103. The reversal of 135225100101 is 101001522531.

It is not a de Polignac number, because 135225100101 - 22 = 135225100097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135225100103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1824711 + ... + 1897371.

It is an arithmetic number, because the mean of its divisors is an integer number (3680475624).

Almost surely, 2135225100101 is an apocalyptic number.

It is an amenable number.

135225100101 is a deficient number, since it is larger than the sum of its proper divisors (100325339835).

135225100101 is a wasteful number, since it uses less digits than its factorization.

135225100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73102.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 135225100101 its reverse (101001522531), we get a palindrome (236226622632).

The spelling of 135225100101 in words is "one hundred thirty-five billion, two hundred twenty-five million, one hundred thousand, one hundred one".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 401 663 1203 1547 2807 4641 5213 6817 8421 15639 20451 36491 47719 72661 88621 109473 143157 217983 265863 508627 620347 944593 1235237 1525881 1861041 2833779 3705711 6612151 8646659 16058081 19836453 25939977 29137061 48174243 87411183 112406567 203959427 337219701 378781793 495330037 611878281 1136345379 1485990111 2651472551 3467310259 6439290481 7954417653 10401930777 19317871443 45075033367 135225100101