Search a number
-
+
1032130016253 = 337167263124337
BaseRepresentation
bin11110000010011111011…
…11100011001111111101
310122200002220201100212000
433001033233203033331
5113402300241010003
62110053132132513
7134366100245550
oct17011757431775
93580086640760
101032130016253
113687a6539736
1214804a307139
1376438a2ac8b
1437d53712697
151bcac3861a3
hexf04fbe33fd

1032130016253 has 64 divisors (see below), whose sum is σ = 1764684472320. Its totient is φ = 584023101696.

The previous prime is 1032130016201. The next prime is 1032130016389. The reversal of 1032130016253 is 3526100312301.

1032130016253 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 30 + 0 + 1 + 625 + 3 = 666.

It is not a de Polignac number, because 1032130016253 - 212 = 1032130012157 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032130016653) 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, 8238901 + ... + 8363237.

It is an arithmetic number, because the mean of its divisors is an integer number (27573194880).

Almost surely, 21032130016253 is an apocalyptic number.

It is an amenable number.

1032130016253 is a deficient number, since it is larger than the sum of its proper divisors (732554456067).

1032130016253 is a wasteful number, since it uses less digits than its factorization.

1032130016253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124783 (or 124777 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1032130016253 its reverse (3526100312301), we get a palindrome (4558230328554).

The spelling of 1032130016253 in words is "one trillion, thirty-two billion, one hundred thirty million, sixteen thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 167 189 263 501 789 1169 1503 1841 2367 3507 4509 5523 7101 10521 16569 31563 43921 49707 124337 131763 307447 373011 395289 870359 922341 1119033 1185867 2611077 2767023 3357099 7833231 8301069 20764279 23499693 32700631 62292837 98101893 145349953 186878511 228904417 294305679 436049859 560635533 686713251 882917037 1308149577 2060139753 3924448731 5461005377 6180419259 16383016131 38227037639 49149048393 114681112917 147447145179 344043338751 1032130016253