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211303132031 = 23611049143573
BaseRepresentation
bin1100010011001010100…
…1011110101101111111
3202012102002010021201002
43010302221132231333
511430222100211111
6241023223240515
721160200662465
oct3046251365577
9665362107632
10211303132031
1181682122632
1234b50ba913b
1316c05ca0094
14a32733c835
15576a94063b
hex3132a5eb7f

211303132031 has 16 divisors (see below), whose sum is σ = 224320017600. Its totient is φ = 198611761920.

The previous prime is 211303132009. The next prime is 211303132043. The reversal of 211303132031 is 130231303112.

It is a cyclic number.

It is not a de Polignac number, because 211303132031 - 222 = 211298937727 is a prime.

It is a super-2 number, since 2×2113031320312 (a number of 23 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 = 211303131994 and 211303132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211303132081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399961 + ... + 1543533.

It is an arithmetic number, because the mean of its divisors is an integer number (14020001100).

Almost surely, 2211303132031 is an apocalyptic number.

211303132031 is a deficient number, since it is larger than the sum of its proper divisors (13016885569).

211303132031 is a wasteful number, since it uses less digits than its factorization.

211303132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144706.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 211303132031 its reverse (130231303112), we get a palindrome (341534435143).

The spelling of 211303132031 in words is "two hundred eleven billion, three hundred three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 23 61 1049 1403 24127 63989 143573 1471747 3302179 8757953 150608077 201432919 3463985771 9187092697 211303132031