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131020002 = 232591071153
BaseRepresentation
bin1111100111100…
…11010011100010
3100010112111122200
413303303103202
5232020120002
621000114030
73150436341
oct763632342
9303474580
10131020002
1167a592a3
1237a65916
13211b4b39
1413587b58
15b780b1c
hex7cf34e2

131020002 has 48 divisors (see below), whose sum is σ = 291638880. Its totient is φ = 42494976.

The previous prime is 131019979. The next prime is 131020007. The reversal of 131020002 is 200020131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131020007) 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, 113058 + ... + 114210.

It is an arithmetic number, because the mean of its divisors is an integer number (6075810).

Almost surely, 2131020002 is an apocalyptic number.

131020002 is an abundant number, since it is smaller than the sum of its proper divisors (160618878).

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

131020002 is a wasteful number, since it uses less digits than its factorization.

131020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131020002 is about 11446.3969003351. The cubic root of 131020002 is about 507.9011551540.

Adding to 131020002 its reverse (200020131), we get a palindrome (331040133).

It can be divided in two parts, 1310 and 20002, that added together give a palindrome (21312).

The spelling of 131020002 in words is "one hundred thirty-one million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 59 107 118 177 214 321 354 531 642 963 1062 1153 1926 2306 3459 6313 6918 10377 12626 18939 20754 37878 56817 68027 113634 123371 136054 204081 246742 370113 408162 612243 740226 1110339 1224486 2220678 7278889 14557778 21836667 43673334 65510001 131020002