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32201142000 = 243535366857
BaseRepresentation
bin11101111111010101…
…100110111011110000
310002010011010111112220
4131333111212323300
51011421443021000
622443142121040
72216655122316
oct357725467360
9102104114486
1032201142000
1112724783655
1262a8120180
1330624064a1
1417b69020b6
15c86ebe1a0
hex77f566ef0

32201142000 has 80 divisors (see below), whose sum is σ = 103816501152. Its totient is φ = 8586969600.

The previous prime is 32201141983. The next prime is 32201142011. The reversal of 32201142000 is 24110223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×322011420002 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677429 + ... + 2689428.

Almost surely, 232201142000 is an apocalyptic number.

32201142000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32201142000 is an abundant number, since it is smaller than the sum of its proper divisors (71615359152).

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

32201142000 is a wasteful number, since it uses less digits than its factorization.

32201142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366883 (or 5366867 counting only the distinct ones).

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

Adding to 32201142000 its reverse (24110223), we get a palindrome (32225252223).

The spelling of 32201142000 in words is "thirty-two billion, two hundred one million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 5366857 10733714 16100571 21467428 26834285 32201142 42934856 53668570 64402284 80502855 85869712 107337140 128804568 134171425 161005710 214674280 257609136 268342850 322011420 402514275 429348560 536685700 644022840 670857125 805028550 1073371400 1288045680 1341714250 1610057100 2012571375 2146742800 2683428500 3220114200 4025142750 5366857000 6440228400 8050285500 10733714000 16100571000 32201142000