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31091249000 = 2353717261271
BaseRepresentation
bin11100111101001011…
…101100111101101000
32222020210200002120202
4130331023230331220
51002133324432000
622141053211332
72150320153550
oct347513547550
988223602522
1031091249000
1112205221609
126038490b48
132c164a0876
14170d34a160
15c1e831dd5
hex73d2ecf68

31091249000 has 128 divisors (see below), whose sum is σ = 88038213120. Its totient is φ = 10032768000.

The previous prime is 31091248997. The next prime is 31091249011. The reversal of 31091249000 is 94219013.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11636 + ... + 249635.

It is an arithmetic number, because the mean of its divisors is an integer number (687798540).

Almost surely, 231091249000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31091249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44019106560).

31091249000 is an abundant number, since it is smaller than the sum of its proper divisors (56946964120).

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

31091249000 is a wasteful number, since it uses less digits than its factorization.

31091249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261316 (or 261302 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 31091249000 in words is "thirty-one billion, ninety-one million, two hundred forty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 119000 261271 522542 1045084 1306355 1828897 2090168 2612710 3657794 4441607 5225420 6531775 7315588 8883214 9144485 10450840 13063550 14631176 17766428 18288970 22208035 26127100 31091249 32658875 35532856 36577940 44416070 45722425 52254200 62182498 65317750 73155880 88832140 91444850 111040175 124364996 130635500 155456245 177664280 182889700 222080350 228612125 248729992 261271000 310912490 365779400 444160700 457224250 555200875 621824980 777281225 888321400 914448500 1110401750 1243649960 1554562450 1828897000 2220803500 3109124900 3886406125 4441607000 6218249800 7772812250 15545624500 31091249000