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101231141333 = 71923711672791
BaseRepresentation
bin101111001000111011…
…0001010000111010101
3100200021222020210122212
41132101312022013111
53124310133010313
6114301022403205
710212413334560
oct1362166120725
9320258223585
10101231141333
1139a28381883
1217752130505
1397138b853a
144c847794d7
1529773773a8
hex1791d8a1d5

101231141333 has 64 divisors (see below), whose sum is σ = 129684602880. Its totient is φ = 77029444800.

The previous prime is 101231141321. The next prime is 101231141369. The reversal of 101231141333 is 333141132101.

It is not a de Polignac number, because 101231141333 - 26 = 101231141269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 101231141299 and 101231141308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231141383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36269168 + ... + 36271958.

It is an arithmetic number, because the mean of its divisors is an integer number (2026321920).

Almost surely, 2101231141333 is an apocalyptic number.

It is an amenable number.

101231141333 is a deficient number, since it is larger than the sum of its proper divisors (28453461547).

101231141333 is a wasteful number, since it uses less digits than its factorization.

101231141333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101231141333 its reverse (333141132101), we get a palindrome (434372273434).

The spelling of 101231141333 in words is "one hundred one billion, two hundred thirty-one million, one hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 7 19 23 71 133 161 167 437 497 1169 1349 1633 2791 3059 3173 3841 9443 11431 11857 19537 22211 26887 31027 53029 64193 72979 82999 198161 217189 225283 272711 371203 449351 466097 510853 1219667 1387127 1576981 1908977 3262679 3765059 4557703 5181509 8537669 8855843 10720231 26355413 31903921 33092887 36270563 61990901 75041617 86596357 203684389 231650209 606174499 628764853 761136401 1425790723 4401353971 5327954807 14461591619 101231141333