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132312210102 = 233671271511907
BaseRepresentation
bin111101100111001101…
…1000001101010110110
3110122112001202200121000
41323032123001222312
54131433411210402
6140441113504130
712362551141452
oct1731633015266
9418461680530
10132312210102
115112787a876
1221787112046
13c627c334a7
1465925d5662
153695d47c1c
hex1ece6c1ab6

132312210102 has 128 divisors (see below), whose sum is σ = 302915911680. Its totient is φ = 42795799200.

The previous prime is 132312210097. The next prime is 132312210109. The reversal of 132312210102 is 201012213231.

132312210102 is a `hidden beast` number, since 132 + 312 + 210 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312210109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69381433 + ... + 69383339.

It is an arithmetic number, because the mean of its divisors is an integer number (2366530560).

Almost surely, 2132312210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132312210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151457955840).

132312210102 is an abundant number, since it is smaller than the sum of its proper divisors (170603701578).

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

132312210102 is a wasteful number, since it uses less digits than its factorization.

132312210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2257 counting only the distinct ones).

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

Adding to 132312210102 its reverse (201012213231), we get a palindrome (333324423333).

The spelling of 132312210102 in words is "one hundred thirty-two billion, three hundred twelve million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 67 127 134 151 201 254 302 381 402 453 603 762 906 1143 1206 1359 1809 1907 2286 2718 3429 3618 3814 4077 5721 6858 8154 8509 10117 11442 17018 17163 19177 20234 25527 30351 34326 38354 51054 51489 57531 60702 76581 91053 102978 115062 127769 153162 172593 182106 229743 242189 255538 273159 287957 345186 383307 459486 484378 517779 546318 575914 726567 766614 863871 1035558 1149921 1284859 1453134 1727742 2179701 2299842 2569718 2591613 3449763 3854577 4359402 5183226 6539103 6899526 7709154 7774839 11563731 13078206 15549678 16226663 19293119 23127462 32453326 34691193 36570539 38586238 48679989 57879357 69382386 73141078 97359978 109711617 115758714 146039967 173638071 219423234 292079934 329134851 347276142 438119901 520914213 658269702 876239802 987404553 1041828426 1974809106 2450226113 4900452226 7350678339 14701356678 22052035017 44104070034 66156105051 132312210102