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31200132000 = 253532600011
BaseRepresentation
bin11101000011101011…
…000011101110100000
32222112101112220222110
4131003223003232200
51002344213211000
622155543035320
72153111513652
oct350353035640
988471486873
1031200132000
111226072aa64
126068a3bb40
132c32c0468b
14171d9b06d2
15c2918d850
hex743ac3ba0

31200132000 has 96 divisors (see below), whose sum is σ = 102211671744. Its totient is φ = 8320032000.

The previous prime is 31200131999. The next prime is 31200132031. The reversal of 31200132000 is 23100213.

It is a happy number.

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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288006 + ... + 1312005.

It is an arithmetic number, because the mean of its divisors is an integer number (1064704914).

Almost surely, 231200132000 is an apocalyptic number.

31200132000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31200132000 is an abundant number, since it is smaller than the sum of its proper divisors (71011539744).

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

31200132000 is a wasteful number, since it uses less digits than its factorization.

31200132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600039 (or 2600021 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31200132000 its reverse (23100213), we get a palindrome (31223232213).

The spelling of 31200132000 in words is "thirty-one billion, two hundred million, one hundred thirty-two 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 2600011 5200022 7800033 10400044 13000055 15600066 20800088 26000110 31200132 39000165 41600176 52000220 62400264 65000275 78000330 83200352 104000440 124800528 130000550 156000660 195000825 208000880 249601056 260001100 312001320 325001375 390001650 416001760 520002200 624002640 650002750 780003300 975004125 1040004400 1248005280 1300005500 1560006600 1950008250 2080008800 2600011000 3120013200 3900016500 5200022000 6240026400 7800033000 10400044000 15600066000 31200132000