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31332120000 = 26354261101
BaseRepresentation
bin11101001011100010…
…100011010111000000
32222212120220121110220
4131023202203113000
51003132010320000
622221020023040
72156303424426
oct351342432700
988776817426
1031332120000
111231918a555
1260a5091a80
132c54367c9c
14173332b116
15c35a611a0
hex74b8a35c0

31332120000 has 140 divisors (see below), whose sum is σ = 103591696296. Its totient is φ = 8355200000.

The previous prime is 31332119969. The next prime is 31332120007. The reversal of 31332120000 is 2123313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31332120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10551 + ... + 250550.

Almost surely, 231332120000 is an apocalyptic number.

31332120000 is a gapful number since it is divisible by the number (30) 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 31332120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51795848148).

31332120000 is an abundant number, since it is smaller than the sum of its proper divisors (72259576296).

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

31332120000 is an equidigital number, since it uses as much as digits as its factorization.

31332120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261136 (or 261111 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31332120000 its reverse (2123313), we get a palindrome (31334243313).

The spelling of 31332120000 in words is "thirty-one billion, three hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 261101 522202 783303 1044404 1305505 1566606 2088808 2611010 3133212 3916515 4177616 5222020 6266424 6527525 7833030 8355232 10444040 12532848 13055050 15666060 16710464 19582575 20888080 25065696 26110100 31332120 32637625 39165150 41776160 50131392 52220200 62664240 65275250 78330300 83552320 97912875 104440400 125328480 130550500 156660600 163188125 195825750 208880800 250656960 261101000 313321200 326376250 391651500 417761600 489564375 522202000 626642400 652752500 783303000 979128750 1044404000 1253284800 1305505000 1566606000 1958257500 2088808000 2611010000 3133212000 3916515000 5222020000 6266424000 7833030000 10444040000 15666060000 31332120000