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11211000031 = 721143148259
BaseRepresentation
bin10100111000011101…
…00100100011011111
31001221022110210212101
422130032210203133
5140430004000111
65052242345531
7544550633200
oct123416444337
931838423771
1011211000031
114833354290
12220a65b2a7
13109886373a
14784d175a7
1545936cbc1
hex29c3a48df

11211000031 has 24 divisors (see below), whose sum is σ = 14260250880. Its totient is φ = 8715394800.

The previous prime is 11211000023. The next prime is 11211000091. The reversal of 11211000031 is 13000011211.

It is not a de Polignac number, because 11211000031 - 23 = 11211000023 is a prime.

It is a super-2 number, since 2×112110000312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11210999981 and 11211000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211000011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208180 + ... + 256438.

It is an arithmetic number, because the mean of its divisors is an integer number (594177120).

Almost surely, 211211000031 is an apocalyptic number.

11211000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11211000031 is a deficient number, since it is larger than the sum of its proper divisors (3049250849).

11211000031 is a wasteful number, since it uses less digits than its factorization.

11211000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48715 (or 48708 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11211000031 its reverse (13000011211), we get a palindrome (24211011242).

The spelling of 11211000031 in words is "eleven billion, two hundred eleven million, thirty-one", and thus it is an aban number.

Divisors: 1 7 11 49 77 431 539 3017 4741 21119 33187 48259 232309 337813 530849 2364691 3715943 20799629 26011601 145597403 228795919 1019181821 1601571433 11211000031