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211232003132031 = 37174183173871961
BaseRepresentation
bin110000000001110101001000…
…100000110000101001111111
31000200220120201111002222022120
4300001311020200300221333
5210141311120300211111
62025130350445214023
762331002644552110
oct6001651040605177
91020816644088276
10211232003132031
1161339a97a63202
121b836216561313
1390b3128099ccb
143a2397d758207
1519649685c7406
hexc01d48830a7f

211232003132031 has 64 divisors (see below), whose sum is σ = 353330082395136. Its totient is φ = 109497605529600.

The previous prime is 211232003131999. The next prime is 211232003132041. The reversal of 211232003132031 is 130231300232112.

It is not a de Polignac number, because 211232003132031 - 25 = 211232003131999 is a prime.

It is a super-2 number, since 2×2112320031320312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211232003131992 and 211232003132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211232003132041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85721110 + ... + 88150851.

It is an arithmetic number, because the mean of its divisors is an integer number (5520782537424).

Almost surely, 2211232003132031 is an apocalyptic number.

211232003132031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211232003132031 is a deficient number, since it is larger than the sum of its proper divisors (142098079263105).

211232003132031 is a wasteful number, since it uses less digits than its factorization.

211232003132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173872112.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211232003132031 its reverse (130231300232112), we get a palindrome (341463303364143).

The spelling of 211232003132031 in words is "two hundred eleven trillion, two hundred thirty-two billion, three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 17 21 41 51 83 119 123 249 287 357 581 697 861 1411 1743 2091 3403 4233 4879 9877 10209 14637 23821 29631 57851 71463 173553 404957 1214871 173871961 521615883 1217103727 2955823337 3651311181 7128750401 8867470011 14431372763 20690763359 21386251203 43294118289 49901252807 62072290077 101019609341 121188756817 149703758421 245333336971 303058828023 363566270451 591686283283 736000010913 848321297719 1717333358797 1775058849849 2544963893157 4141803982981 5152000076391 10058666815811 12425411948943 30176000447433 70410667710677 211232003132031