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4100132013411 = 3721711291453241
BaseRepresentation
bin111011101010100010111…
…010011000010101100011
3112111222011020202000112110
4323222202322120111203
51014134032243412121
612415324042330403
7602140044036300
oct73524272302543
915458136660473
104100132013411
1113409466a4365
12562771ab9a03
13239843a7a205
14102639b260a7
15719c1abed76
hex3baa2e98563

4100132013411 has 48 divisors (see below), whose sum is σ = 6739438839840. Its totient is φ = 2203158343680.

The previous prime is 4100132013391. The next prime is 4100132013451. The reversal of 4100132013411 is 1143102310014.

It is not a de Polignac number, because 4100132013411 - 26 = 4100132013347 is a prime.

It is a super-3 number, since 3×41001320134113 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (4100132013451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094751 + ... + 3547991.

It is an arithmetic number, because the mean of its divisors is an integer number (140404975830).

Almost surely, 24100132013411 is an apocalyptic number.

4100132013411 is a deficient number, since it is larger than the sum of its proper divisors (2639306826429).

4100132013411 is a wasteful number, since it uses less digits than its factorization.

4100132013411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454404 (or 1454397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 4100132013411 its reverse (1143102310014), we get a palindrome (5243234323425).

The spelling of 4100132013411 in words is "four trillion, one hundred billion, one hundred thirty-two million, thirteen thousand, four hundred eleven".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 1129 2499 3387 7903 19193 23709 55321 57579 134351 165963 403053 940457 1453241 2821371 4359723 10172687 24705097 30518061 71208809 74115291 172935679 213626427 518807037 1210549753 1640709089 3631649259 4922127267 11484963623 27892054513 34454890869 80394745361 83676163539 195244381591 241184236083 585733144773 1366710671137 4100132013411