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102233134032 = 2432129856959
BaseRepresentation
bin101111100110110010…
…0011101001111010000
3100202212210200022020120
41133031210131033100
53133333140242112
6114544254510240
710246301205231
oct1371544351720
9322783608216
10102233134032
113a3a1a36817
1217991805380
139843372723
144d3b885088
1529d52ede8c
hex17cd91d3d0

102233134032 has 20 divisors (see below), whose sum is σ = 264102263040. Its totient is φ = 34077711328.

The previous prime is 102233133973. The next prime is 102233134097. The reversal of 102233134032 is 230431332201.

It is a super-2 number, since 2×1022331340322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102233133993 and 102233134011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1064928432 + ... + 1064928527.

It is an arithmetic number, because the mean of its divisors is an integer number (13205113152).

Almost surely, 2102233134032 is an apocalyptic number.

102233134032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102233134032 is an abundant number, since it is smaller than the sum of its proper divisors (161869129008).

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

102233134032 is a wasteful number, since it uses less digits than its factorization.

102233134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129856970 (or 2129856964 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102233134032 its reverse (230431332201), we get a palindrome (332664466233).

The spelling of 102233134032 in words is "one hundred two billion, two hundred thirty-three million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2129856959 4259713918 6389570877 8519427836 12779141754 17038855672 25558283508 34077711344 51116567016 102233134032