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1001112011211 = 313101977260137
BaseRepresentation
bin11101001000101101110…
…11010000000111001011
310112201001012212110002110
432210112323100013023
5112400234133324321
62043523212433403
7132220326456144
oct16442673200713
93481035773073
101001112011211
113566296a4424
12142032478863
1373534793640
143664ddd0acb
151b0941c1176
hexe916ed01cb

1001112011211 has 32 divisors (see below), whose sum is σ = 1453218274368. Its totient is φ = 609342566400.

The previous prime is 1001112011201. The next prime is 1001112011227. The reversal of 1001112011211 is 1121102111001.

1001112011211 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001112011211 - 26 = 1001112011147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001112011201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3718335 + ... + 3978471.

It is an arithmetic number, because the mean of its divisors is an integer number (45413071074).

Almost surely, 21001112011211 is an apocalyptic number.

1001112011211 is a deficient number, since it is larger than the sum of its proper divisors (452106263157).

1001112011211 is a wasteful number, since it uses less digits than its factorization.

1001112011211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261231.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001112011211 its reverse (1121102111001), we get a palindrome (2122214122212).

The spelling of 1001112011211 in words is "one trillion, one billion, one hundred twelve million, eleven thousand, two hundred eleven".

Divisors: 1 3 13 39 101 303 977 1313 2931 3939 12701 38103 98677 260137 296031 780411 1282801 3381781 3848403 10145343 26273837 78821511 254153849 341559881 762461547 1024679643 3304000037 9912000111 25669538749 77008616247 333704003737 1001112011211