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102201214032 = 24321514700203
BaseRepresentation
bin101111100101110101…
…0101100010001010000
3100202210120121121020100
41133023222230101100
53133302002322112
6114541154412400
710245432662061
oct1371352542120
9322716547210
10102201214032
113a385a14855
1217982b91100
139839877858
144d37536568
1529d25e62dc
hex17cbaac450

102201214032 has 60 divisors (see below), whose sum is σ = 287915696224. Its totient is φ = 33841454400.

The previous prime is 102201213991. The next prime is 102201214043. The reversal of 102201214032 is 230412102201.

It is a happy number.

It is a super-2 number, since 2×1022012140322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102201213996 and 102201214014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2328358 + ... + 2371845.

Almost surely, 2102201214032 is an apocalyptic number.

102201214032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201214032 is an abundant number, since it is smaller than the sum of its proper divisors (185714482192).

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

102201214032 is a wasteful number, since it uses less digits than its factorization.

102201214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700368 (or 4700359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102201214032 its reverse (230412102201), we get a palindrome (332613316233).

The spelling of 102201214032 in words is "one hundred two billion, two hundred one million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744 4700203 9400406 14100609 18800812 28201218 37601624 42301827 56402436 75203248 84603654 112804872 169207308 225609744 338414616 676829232 709730653 1419461306 2129191959 2838922612 4258383918 5677845224 6387575877 8516767836 11355690448 12775151754 17033535672 25550303508 34067071344 51100607016 102201214032