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2011020312231 = 3271491601133813
BaseRepresentation
bin11101010000111010001…
…001101011111010100111
321010020210110111201100100
4131100322021223322213
5230422032144442411
64135503332315143
7265201646420160
oct35207211537247
97106713451310
102011020312231
117059615a2547
122858ba772ab3
1311783b751298
146d49632a767
15374a0730456
hex1d43a26bea7

2011020312231 has 48 divisors (see below), whose sum is σ = 3344172436800. Its totient is φ = 1140720537600.

The previous prime is 2011020312209. The next prime is 2011020312233. The reversal of 2011020312231 is 1322130201102.

2011020312231 is a `hidden beast` number, since 20 + 1 + 102 + 0 + 312 + 231 = 666.

It is not a de Polignac number, because 2011020312231 - 26 = 2011020312167 is a prime.

It is a super-2 number, since 2×20110203122312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011020312233) 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 47 ways as a sum of consecutive naturals, for example, 14961681 + ... + 15095493.

It is an arithmetic number, because the mean of its divisors is an integer number (69670259100).

Almost surely, 22011020312231 is an apocalyptic number.

2011020312231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011020312231 is a deficient number, since it is larger than the sum of its proper divisors (1333152124569).

2011020312231 is a wasteful number, since it uses less digits than its factorization.

2011020312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135576 (or 135573 counting only the distinct ones).

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

Adding to 2011020312231 its reverse (1322130201102), we get a palindrome (3333150513333).

The spelling of 2011020312231 in words is "two trillion, eleven billion, twenty million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 149 447 1043 1341 1601 3129 4803 9387 11207 14409 33621 100863 133813 238549 401439 715647 936691 1204317 1669843 2146941 2810073 5009529 8430219 15028587 19938137 59814411 139566959 179443233 214234613 418700877 642703839 1256102631 1499642291 1928111517 4498926873 13496780619 31920957337 95762872011 223446701359 287288616033 670340104077 2011020312231