Search a number
-
+
102012601230135 = 3356831704764901
BaseRepresentation
bin10111001100011110101000…
…110110111110001100110111
3111101012022100120121012022000
4113030132220312332030313
5101332333301403331020
61000543535251510343
730326111233265511
oct2714365066761467
9441168316535260
10102012601230135
112a560334a27742
12b5368858b83b3
1344bc99327b5bb
141b296170a6bb1
15bbd8adbd0090
hex5cc7a8dbe337

102012601230135 has 64 divisors (see below), whose sum is σ = 181634716431360. Its totient is φ = 54323038281600.

The previous prime is 102012601230131. The next prime is 102012601230151. The reversal of 102012601230135 is 531032106210201.

102012601230135 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 2 + 601 + 23 + 0 + 1 + 35 = 666.

It is not a de Polignac number, because 102012601230135 - 22 = 102012601230131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102012601230099 and 102012601230108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012601230131) 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, 1571786185 + ... + 1571851085.

It is an arithmetic number, because the mean of its divisors is an integer number (2838042444240).

Almost surely, 2102012601230135 is an apocalyptic number.

102012601230135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102012601230135 is a deficient number, since it is larger than the sum of its proper divisors (79622115201225).

102012601230135 is a wasteful number, since it uses less digits than its factorization.

102012601230135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82645 (or 82639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 102012601230135 its reverse (531032106210201), we get a palindrome (633044707440336).

The spelling of 102012601230135 in words is "one hundred two trillion, twelve billion, six hundred one million, two hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 683 2049 3415 6147 10245 17047 18441 30735 51141 64901 85235 92205 153423 194703 255705 324505 460269 584109 767115 973515 1752327 2301345 2920545 8761635 11643101 34929303 44327383 58215505 104787909 132982149 174646515 221636915 314363727 398946447 523939545 664910745 1106367347 1196839341 1571818635 1994732235 3319102041 5531836735 5984196705 9957306123 16595510205 29871918369 49786530615 149359591845 755648898001 2266946694003 3778244490005 6800840082009 11334733470015 20402520246027 34004200410045 102012601230135