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2132124000 = 25353177677
BaseRepresentation
bin111111100010101…
…1010000101100000
312111120222010021120
41333011122011200
513331310432000
6551322452240
7103556516646
oct17705320540
95446863246
102132124000
119a458a356
124b6064080
1327c957846
1416324d196
15c72b06a0
hex7f15a160

2132124000 has 96 divisors (see below), whose sum is σ = 6984877536. Its totient is φ = 568563200.

The previous prime is 2132123971. The next prime is 2132124047. The reversal of 2132124000 is 4212312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76839 + ... + 100838.

It is an arithmetic number, because the mean of its divisors is an integer number (72759141).

Almost surely, 22132124000 is an apocalyptic number.

2132124000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132124000 is an abundant number, since it is smaller than the sum of its proper divisors (4852753536).

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

2132124000 is a wasteful number, since it uses less digits than its factorization.

2132124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177705 (or 177687 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2132124000 is about 46174.9282619908. The cubic root of 2132124000 is about 1287.0758838090.

Adding to 2132124000 its reverse (4212312), we get a palindrome (2136336312).

The spelling of 2132124000 in words is "two billion, one hundred thirty-two million, one hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 177677 355354 533031 710708 888385 1066062 1421416 1776770 2132124 2665155 2842832 3553540 4264248 4441925 5330310 5685664 7107080 8528496 8883850 10660620 13325775 14214160 17056992 17767700 21321240 22209625 26651550 28428320 35535400 42642480 44419250 53303100 66628875 71070800 85284960 88838500 106606200 133257750 142141600 177677000 213212400 266515500 355354000 426424800 533031000 710708000 1066062000 2132124000