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102201202332 = 223341169313633
BaseRepresentation
bin101111100101110101…
…0101001011010011100
3100202210120121000012000
41133023222221122130
53133302001433312
6114541154242300
710245432613005
oct1371352513234
9322716530160
10102201202332
113a385a06a89
1217982b86390
139839872428
144d375321ac
1529d25e2adc
hex17cbaa969c

102201202332 has 96 divisors (see below), whose sum is σ = 271608912960. Its totient is φ = 33214095360.

The previous prime is 102201202307. The next prime is 102201202381. The reversal of 102201202332 is 233202102201.

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

It is a congruent number.

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, 7489788 + ... + 7503420.

It is an arithmetic number, because the mean of its divisors is an integer number (2829259510).

Almost surely, 2102201202332 is an apocalyptic number.

102201202332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201202332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135804456480).

102201202332 is an abundant number, since it is smaller than the sum of its proper divisors (169407710628).

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

102201202332 is a wasteful number, since it uses less digits than its factorization.

102201202332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 15372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102201202332 its reverse (233202102201), we get a palindrome (335403304533).

The spelling of 102201202332 in words is "one hundred two billion, two hundred one million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 1693 2214 3386 4428 5079 6772 10158 13633 15237 20316 27266 30474 40899 45711 54532 60948 69413 81798 91422 122697 138826 163596 182844 208239 245394 277652 368091 416478 490788 558953 624717 736182 832956 1117906 1249434 1472364 1676859 1874151 2235812 2498868 3353718 3748302 5030577 6707436 7496604 10061154 15091731 20122308 23080669 30183462 46161338 60366924 69242007 92322676 138484014 207726021 276968028 415452042 623178063 830904084 946307429 1246356126 1892614858 2492712252 2838922287 3785229716 5677844574 8516766861 11355689148 17033533722 25550300583 34067067444 51100601166 102201202332