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132002210310201 = 32711190479379957
BaseRepresentation
bin11110000000111000101000…
…110110101110100000111001
3122022101021202222221112022200
4132000320220312232200321
5114300211011314411301
61144424551145340413
736542562553426560
oct3600705066564071
9568337688845280
10132002210310201
113907290647a860
121297aab5197709
1358869a7a1a9ca
142484d26410bd7
15103da3162cc86
hex780e28dae839

132002210310201 has 24 divisors (see below), whose sum is σ = 237718266187584. Its totient is φ = 68572576784160.

The previous prime is 132002210310169. The next prime is 132002210310233. The reversal of 132002210310201 is 102013012200231.

132002210310201 is a `hidden beast` number, since 1 + 320 + 0 + 2 + 2 + 10 + 310 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (132002210310169) and next prime (132002210310233).

It is not a de Polignac number, because 132002210310201 - 25 = 132002210310169 is a prime.

It is a super-4 number, since 4×1320022103102014 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (132002210310301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95239689286 + ... + 95239690671.

It is an arithmetic number, because the mean of its divisors is an integer number (9904927757816).

Almost surely, 2132002210310201 is an apocalyptic number.

132002210310201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132002210310201 is a deficient number, since it is larger than the sum of its proper divisors (105716055877383).

132002210310201 is a wasteful number, since it uses less digits than its factorization.

132002210310201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190479379981 (or 190479379978 counting only the distinct ones).

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

Adding to 132002210310201 its reverse (102013012200231), we get a palindrome (234015222510432).

The spelling of 132002210310201 in words is "one hundred thirty-two trillion, two billion, two hundred ten million, three hundred ten thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 190479379957 571438139871 1333355659699 1714314419613 2095273179527 4000066979097 6285819538581 12000200937291 14666912256689 18857458615743 44000736770067 132002210310201