Search a number
-
+
20132331000 = 2335346114557
BaseRepresentation
bin10010101111111110…
…101111110111111000
31220222001112101020220
4102233332233313320
5312212334043000
613125413420040
71311616663365
oct225776576770
956861471226
1020132331000
1185a11a3291
123a9a33a620
131b8ac2b3c2
14d8dad146c
157cc6aa1a0
hex4affafdf8

20132331000 has 128 divisors (see below), whose sum is σ = 62953450560. Its totient is φ = 5356608000.

The previous prime is 20132330989. The next prime is 20132331029. The reversal of 20132331000 is 13323102.

It is a super-2 number, since 2×201323310002 (a number of 21 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375722 + ... + 1390278.

Almost surely, 220132331000 is an apocalyptic number.

20132331000 is a gapful number since it is divisible by the number (20) 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 20132331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31476725280).

20132331000 is an abundant number, since it is smaller than the sum of its proper divisors (42821119560).

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

20132331000 is a wasteful number, since it uses less digits than its factorization.

20132331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15028 counting only the distinct ones).

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

Adding to 20132331000 its reverse (13323102), we get a palindrome (20145654102).

The spelling of 20132331000 in words is "twenty billion, one hundred thirty-two million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 461 500 600 750 922 1000 1383 1500 1844 2305 2766 3000 3688 4610 5532 6915 9220 11064 11525 13830 14557 18440 23050 27660 29114 34575 43671 46100 55320 57625 58228 69150 72785 87342 92200 115250 116456 138300 145570 172875 174684 218355 230500 276600 291140 345750 349368 363925 436710 461000 582280 691500 727850 873420 1091775 1383000 1455700 1746840 1819625 2183550 2911400 3639250 4367100 5458875 6710777 7278500 8734200 10917750 13421554 14557000 20132331 21835500 26843108 33553885 40264662 43671000 53686216 67107770 80529324 100661655 134215540 161058648 167769425 201323310 268431080 335538850 402646620 503308275 671077700 805293240 838847125 1006616550 1342155400 1677694250 2013233100 2516541375 3355388500 4026466200 5033082750 6710777000 10066165500 20132331000