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132201142033002 = 23753971400115287
BaseRepresentation
bin11110000011110001111010…
…000111000001101001101010
3122100002022020220002002222220
4132003301322013001221222
5114311440414330024002
61145100211034454510
736563134353243030
oct3603617207015152
9570068226062886
10132201142033002
113913a20a223539
12129b1572b94436
13589c68b9153a3
1424907d8690550
151043cc5dd57bc
hex783c7a1c1a6a

132201142033002 has 128 divisors (see below), whose sum is σ = 308289700712448. Its totient is φ = 37009240320000.

The previous prime is 132201142033001. The next prime is 132201142033057. The reversal of 132201142033002 is 200330241102231.

It is not an unprimeable number, because it can be changed into a prime (132201142033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8647937803 + ... + 8647953089.

It is an arithmetic number, because the mean of its divisors is an integer number (2408513286816).

Almost surely, 2132201142033002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201142033002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154144850356224).

132201142033002 is an abundant number, since it is smaller than the sum of its proper divisors (176088558679446).

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

132201142033002 is a wasteful number, since it uses less digits than its factorization.

132201142033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20324.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132201142033002 its reverse (200330241102231), we get a palindrome (332531383135233).

The spelling of 132201142033002 in words is "one hundred thirty-two trillion, two hundred one billion, one hundred forty-two million, thirty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 971 1113 1942 2226 2913 4001 5826 6797 8002 12003 13594 15287 20391 24006 28007 30574 40782 45861 51463 56014 84021 91722 102926 107009 154389 168042 212053 214018 308778 321027 360241 424106 636159 642054 720482 810211 1080723 1272318 1484371 1620422 2161446 2430633 2968742 3884971 4453113 4861266 5671477 7769942 8906226 11342954 11654913 14843677 17014431 23309826 27194797 29687354 34028862 44531031 54389594 61163287 81584391 89062062 103905739 122326574 163168782 183489861 205903463 207811478 311717217 366979722 411806926 428143009 617710389 623434434 786714881 856286018 1235420778 1284429027 1441324241 1573429762 2360144643 2568858054 2882648482 3241654211 4323972723 4720289286 5507004167 6483308422 8647945446 9724962633 11014008334 16521012501 19449925266 22691579477 33042025002 45383158954 59389551677 68074738431 118779103354 136149476862 178168655031 356337310062 415726861739 831453723478 1247180585217 2494361170434 3147646238881 6295292477762 9442938716643 18885877433286 22033523672167 44067047344334 66100571016501 132201142033002