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132002100 = 223252146669
BaseRepresentation
bin1111101111000…
…11000100110100
3100012101101211200
413313203010310
5232243031400
621033132500
73161666526
oct767430464
9305341750
10132002100
116856a14a
123825a130
1321469b69
1413761a16
15b8c6b00
hex7de3134

132002100 has 54 divisors (see below), whose sum is σ = 413756070. Its totient is φ = 35200320.

The previous prime is 132002077. The next prime is 132002119. The reversal of 132002100 is 1200231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12362256 + 119639844 = 3516^2 + 10938^2 .

It is a super-3 number, since 3×1320021003 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72435 + ... + 74234.

Almost surely, 2132002100 is an apocalyptic number.

132002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132002100 is an abundant number, since it is smaller than the sum of its proper divisors (281753970).

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

132002100 is a wasteful number, since it uses less digits than its factorization.

132002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146689 (or 146679 counting only the distinct ones).

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

The square root of 132002100 is about 11489.2166834820. The cubic root of 132002100 is about 509.1670370655.

Adding to 132002100 its reverse (1200231), we get a palindrome (133202331).

The spelling of 132002100 in words is "one hundred thirty-two million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 146669 293338 440007 586676 733345 880014 1320021 1466690 1760028 2200035 2640042 2933380 3666725 4400070 5280084 6600105 7333450 8800140 11000175 13200210 14666900 22000350 26400420 33000525 44000700 66001050 132002100