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102131210223 = 32723371904971
BaseRepresentation
bin101111100011101111…
…1101001011111101111
3100202121200220001001200
41133013133221133233
53133131042211343
6114530214140543
710243622651250
oct1370737513757
9322550801050
10102131210223
113a34a450969
1217963651753
139828207393
144d2c112b27
1529cb3b94d3
hex17c77e97ef

102131210223 has 48 divisors (see below), whose sum is σ = 180682784256. Its totient is φ = 54314504640.

The previous prime is 102131210219. The next prime is 102131210249. The reversal of 102131210223 is 322012131201.

102131210223 is a `hidden beast` number, since 102 + 131 + 210 + 223 = 666.

It is not a de Polignac number, because 102131210223 - 22 = 102131210219 is a prime.

It is a super-2 number, since 2×1021312102232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102131210196 and 102131210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131210273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898873 + ... + 1006098.

It is an arithmetic number, because the mean of its divisors is an integer number (3764224672).

Almost surely, 2102131210223 is an apocalyptic number.

102131210223 is a deficient number, since it is larger than the sum of its proper divisors (78551574033).

102131210223 is a wasteful number, since it uses less digits than its factorization.

102131210223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905044 (or 1905041 counting only the distinct ones).

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

Adding to 102131210223 its reverse (322012131201), we get a palindrome (424143341424).

The spelling of 102131210223 in words is "one hundred two billion, one hundred thirty-one million, two hundred ten thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 23 37 63 69 111 161 207 259 333 483 777 851 1449 2331 2553 5957 7659 17871 53613 1904971 5714913 13334797 17144739 40004391 43814333 70483927 120013173 131442999 211451781 306700331 394328997 493387489 634355343 920100993 1480162467 1621130321 2760302979 4440487401 4863390963 11347912247 14590172889 34043736741 102131210223