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132201331002 = 232133715269269
BaseRepresentation
bin111101100011111010…
…0000011100100111010
3110122020100010110001200
41323013310003210322
54131222020043002
6140422113155030
712360033525666
oct1730764034472
9418210113050
10132201331002
1151080228754
1221755b5ba76
13c60ac80c60
1465819b18a6
15368b244b1c
hex1ec7d0393a

132201331002 has 48 divisors (see below), whose sum is σ = 316806813960. Its totient is φ = 39577942656.

The previous prime is 132201330949. The next prime is 132201331007. The reversal of 132201331002 is 200133102231.

132201331002 is a `hidden beast` number, since 132 + 201 + 331 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95605258401 + 36596072601 = 309201^2 + 191301^2 .

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

It is not an unprimeable number, because it can be changed into a prime (132201331007) 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, 7625977 + ... + 7643292.

Almost surely, 2132201331002 is an apocalyptic number.

132201331002 is an abundant number, since it is smaller than the sum of its proper divisors (184605482958).

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

132201331002 is a wasteful number, since it uses less digits than its factorization.

132201331002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15269327 (or 15269324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132201331002 its reverse (200133102231), we get a palindrome (332334433233).

It can be divided in two parts, 132201 and 331002, that added together give a triangular number (463203 = T962).

The spelling of 132201331002 in words is "one hundred thirty-two billion, two hundred one million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 15269269 30538538 45807807 91615614 137423421 198500497 274846842 397000994 564962953 595501491 1129925906 1191002982 1694888859 1786504473 3389777718 3573008946 5084666577 7344518389 10169333154 14689036778 22033555167 44067110334 66100665501 132201331002