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132130100214 = 232710111878747
BaseRepresentation
bin111101100001110010…
…0010101001111110110
3110122001101002112210100
41323003210111033312
54131100301201324
6140411050334530
712355210215030
oct1730344251766
9418041075710
10132130100214
1151043aa6a32
122173612a446
13c5c92a1168
14657634cc50
153684d744c9
hex1ec39153f6

132130100214 has 96 divisors (see below), whose sum is σ = 330734866176. Its totient is φ = 37341921600.

The previous prime is 132130100203. The next prime is 132130100231. The reversal of 132130100214 is 412001031231.

132130100214 is a `hidden beast` number, since 1 + 321 + 30 + 100 + 214 = 666.

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 47 ways as a sum of consecutive naturals, for example, 15101389 + ... + 15110135.

It is an arithmetic number, because the mean of its divisors is an integer number (3445154856).

Almost surely, 2132130100214 is an apocalyptic number.

132130100214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130100214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165367433088).

132130100214 is an abundant number, since it is smaller than the sum of its proper divisors (198604765962).

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

132130100214 is a wasteful number, since it uses less digits than its factorization.

132130100214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050 (or 10047 counting only the distinct ones).

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

Adding to 132130100214 its reverse (412001031231), we get a palindrome (544131131445).

The spelling of 132130100214 in words is "one hundred thirty-two billion, one hundred thirty million, one hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1187 1414 1818 2121 2374 3561 4242 6363 7122 8309 8747 10683 12726 16618 17494 21366 24927 26241 49854 52482 61229 74781 78723 119887 122458 149562 157446 183687 239774 359661 367374 551061 719322 839209 883447 1078983 1102122 1678418 1766894 2157966 2517627 2650341 5035254 5300682 6184129 7552881 7951023 10382689 12368258 15105762 15902046 18552387 20765378 31148067 37104774 55657161 62296134 72678823 93444201 111314322 145357646 186888402 218036469 436072938 654109407 1048651589 1308218814 2097303178 3145954767 6291909534 7340561123 9437864301 14681122246 18875728602 22021683369 44043366738 66065050107 132130100214