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102132223434 = 23313722516133
BaseRepresentation
bin101111100011110001…
…1100000110111001010
3100202121202210111221000
41133013203200313022
53133131322122214
6114530251555430
710243634401233
oct1370743406712
9322552714830
10102132223434
113a34aa8312a
1217963a5bb76
1398284a0607
144d2c2d808a
1529cb519809
hex17c78e0dca

102132223434 has 64 divisors (see below), whose sum is σ = 228755998080. Its totient is φ = 33775056000.

The previous prime is 102132223423. The next prime is 102132223451. The reversal of 102132223434 is 434322231201.

102132223434 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 2 + 223 + 434 = 666.

102132223434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102132223398 and 102132223407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16649832 + ... + 16655964.

It is an arithmetic number, because the mean of its divisors is an integer number (3574312470).

Almost surely, 2102132223434 is an apocalyptic number.

102132223434 is an abundant number, since it is smaller than the sum of its proper divisors (126623774646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102132223434 is a wasteful number, since it uses less digits than its factorization.

102132223434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102132223434 its reverse (434322231201), we get a palindrome (536454454635).

The spelling of 102132223434 in words is "one hundred two billion, one hundred thirty-two million, two hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 137 274 411 822 1233 2251 2466 3699 4502 6133 6753 7398 12266 13506 18399 20259 36798 40518 55197 60777 110394 121554 165591 308387 331182 616774 840221 925161 1680442 1850322 2520663 2775483 5041326 5550966 7561989 8326449 13805383 15123978 16652898 22685967 27610766 41416149 45371934 82832298 124248447 248496894 372745341 745490682 1891337471 3782674942 5674012413 11348024826 17022037239 34044074478 51066111717 102132223434