Search a number
-
+
13031200022121 = 32412111091153409
BaseRepresentation
bin1011110110100001000000…
…0011000101111001101001
31201010202210201211212112100
42331220100003011321221
53202000344201201441
643414241201204013
72513321166410121
oct275502003057151
951122721755470
1013031200022121
114174556765146
12156564a630609
13736ab5851a78
143309db9a7c81
15178e88802cb6
hexbda100c5e69

13031200022121 has 48 divisors (see below), whose sum is σ = 19391205637440. Its totient is φ = 8427621888000.

The previous prime is 13031200022089. The next prime is 13031200022177. The reversal of 13031200022121 is 12122000213031.

13031200022121 is a `hidden beast` number, since 1 + 303 + 120 + 0 + 0 + 221 + 21 = 666.

It is not a de Polignac number, because 13031200022121 - 25 = 13031200022089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13031200022094 and 13031200022103.

It is not an unprimeable number, because it can be changed into a prime (13031200022221) 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, 84867465 + ... + 85020873.

It is an arithmetic number, because the mean of its divisors is an integer number (403983450780).

Almost surely, 213031200022121 is an apocalyptic number.

It is an amenable number.

13031200022121 is a deficient number, since it is larger than the sum of its proper divisors (6360005615319).

13031200022121 is a wasteful number, since it uses less digits than its factorization.

13031200022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154758 (or 154755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13031200022121 its reverse (12122000213031), we get a palindrome (25153200235152).

The spelling of 13031200022121 in words is "thirteen trillion, thirty-one billion, two hundred million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 211 369 633 1091 1899 3273 8651 9819 25953 44731 77859 134193 153409 230201 402579 460227 690603 1380681 2071809 6289769 9438241 18869307 28314723 32369299 56607921 84944169 97107897 167369219 291323691 502107657 1327141259 1506322971 3981423777 6862137979 11944271331 20586413937 35314905209 61759241811 105944715627 317834146881 1447911113569 4343733340707 13031200022121