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132212214304041 = 3833833433403831
BaseRepresentation
bin11110000011111100001110…
…000100011000110100101001
3122100010100211112111202110110
4132003330032010120310221
5114312131103330212131
61145105241444004533
736564005631061434
oct3603741604306451
9570110745452413
10132212214304041
1139143981233663
12129b3743090749
1358a07347c5161
142491168db481b
151044222e9d646
hex783f0e118d29

132212214304041 has 32 divisors (see below), whose sum is σ = 178925204570112. Its totient is φ = 86826654794880.

The previous prime is 132212214304013. The next prime is 132212214304073. The reversal of 132212214304041 is 140403412212231.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-132212214304041 is a prime.

It is a super-2 number, since 2×1322122143040412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132212214204041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327192996 + ... + 327596826.

It is an arithmetic number, because the mean of its divisors is an integer number (5591412642816).

Almost surely, 2132212214304041 is an apocalyptic number.

It is an amenable number.

132212214304041 is a deficient number, since it is larger than the sum of its proper divisors (46712990266071).

132212214304041 is a wasteful number, since it uses less digits than its factorization.

132212214304041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407733.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132212214304041 its reverse (140403412212231), we get a palindrome (272615626516272).

The spelling of 132212214304041 in words is "one hundred thirty-two trillion, two hundred twelve billion, two hundred fourteen million, three hundred four thousand, forty-one".

Divisors: 1 3 83 249 383 1149 3433 10299 31789 95367 284939 403831 854817 1211493 1314839 3944517 33517973 100553919 109131637 154667273 327394911 464001819 1386351823 4159055469 12837383659 38512150977 115067201309 345201603927 530972748209 1592918244627 44070738101347 132212214304041