Search a number
-
+
131003101332 = 22335952139461
BaseRepresentation
bin111101000000001100…
…1001011000010010100
3110112010211110001222000
41322000121023002110
54121243243220312
6140103151035300
712315243663015
oct1720031130224
9415124401860
10131003101332
1150615920aa4
122148080bb30
13c47995950c
1464aa7c300c
15361ae58adc
hex1e8064b094

131003101332 has 96 divisors (see below), whose sum is σ = 346065955200. Its totient is φ = 42844089600.

The previous prime is 131003101321. The next prime is 131003101343. The reversal of 131003101332 is 233101300131.

It is a happy number.

131003101332 is a `hidden beast` number, since 1 + 310 + 0 + 310 + 13 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (131003101321) and next prime (131003101343).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300082 + ... + 3339542.

It is an arithmetic number, because the mean of its divisors is an integer number (3604853700).

Almost surely, 2131003101332 is an apocalyptic number.

131003101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131003101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173032977600).

131003101332 is an abundant number, since it is smaller than the sum of its proper divisors (215062853868).

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

131003101332 is a wasteful number, since it uses less digits than its factorization.

131003101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40054 (or 40046 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131003101332 its reverse (233101300131), we get a palindrome (364104401463).

The spelling of 131003101332 in words is "one hundred thirty-one billion, three million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 521 531 708 1042 1062 1563 1593 2084 2124 3126 3186 4689 6252 6372 9378 14067 18756 28134 30739 39461 56268 61478 78922 92217 118383 122956 157844 184434 236766 276651 355149 368868 473532 553302 710298 829953 1065447 1106604 1420596 1659906 2130894 2328199 3319812 4261788 4656398 6984597 9312796 13969194 20559181 20953791 27938388 41118362 41907582 61677543 62861373 82236724 83815164 123355086 125722746 185032629 246710172 251445492 370065258 555097887 740130516 1110195774 1212991679 2220391548 2425983358 3638975037 4851966716 7277950074 10916925111 14555900148 21833850222 32750775333 43667700444 65501550666 131003101332