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1131021211231 = 311631245117977
BaseRepresentation
bin10000011101010110000…
…111100001011001011111
311000010100210221120120001
4100131112013201121133
5122012312412224411
62223330045435131
7144466521446422
oct20352607413137
94003323846501
101131021211231
113a6732a9614a
1216324886baa7
13828688c6072
143ca553c19b9
151e64909adc1
hex107561e165f

1131021211231 has 16 divisors (see below), whose sum is σ = 1174828069888. Its totient is φ = 1087673832000.

The previous prime is 1131021211219. The next prime is 1131021211273. The reversal of 1131021211231 is 1321121201311.

It is a cyclic number.

It is not a de Polignac number, because 1131021211231 - 229 = 1130484340319 is a prime.

It is a super-2 number, since 2×11310212112312 (a number of 25 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 = 1131021211199 and 1131021211208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131021211631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62905915 + ... + 62923891.

It is an arithmetic number, because the mean of its divisors is an integer number (73426754368).

Almost surely, 21131021211231 is an apocalyptic number.

1131021211231 is a deficient number, since it is larger than the sum of its proper divisors (43806858657).

1131021211231 is a wasteful number, since it uses less digits than its factorization.

1131021211231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30622.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1131021211231 its reverse (1321121201311), we get a palindrome (2452142412542).

The spelling of 1131021211231 in words is "one trillion, one hundred thirty-one billion, twenty-one million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 31 163 5053 12451 17977 385981 557287 2029513 2930251 62914903 90837781 223831627 6938780437 36484555201 1131021211231