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31232122000 = 245359614339
BaseRepresentation
bin11101000101100101…
…000101110010010000
32222121121202012000021
4131011211011302100
51002430410401000
622203044433224
72153650441162
oct350545056220
988547665007
1031232122000
111227779a582
1260776a8814
132c39725381
141723d3a932
15c2bdac11a
hex745945c90

31232122000 has 160 divisors (see below), whose sum is σ = 78076252800. Its totient is φ = 12076992000.

The previous prime is 31232121971. The next prime is 31232122003. The reversal of 31232122000 is 22123213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31232122003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7195831 + ... + 7200169.

It is an arithmetic number, because the mean of its divisors is an integer number (487976580).

Almost surely, 231232122000 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 31232122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39038126400).

31232122000 is an abundant number, since it is smaller than the sum of its proper divisors (46844130800).

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

31232122000 is a wasteful number, since it uses less digits than its factorization.

31232122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31232122000 its reverse (22123213), we get a palindrome (31254245213).

The spelling of 31232122000 in words is "thirty-one billion, two hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 61 80 100 118 122 125 200 236 244 250 295 305 400 472 488 500 590 610 944 976 1000 1180 1220 1475 1525 2000 2360 2440 2950 3050 3599 4339 4720 4880 5900 6100 7198 7375 7625 8678 11800 12200 14396 14750 15250 17356 17995 21695 23600 24400 28792 29500 30500 34712 35990 43390 57584 59000 61000 69424 71980 86780 89975 108475 118000 122000 143960 173560 179950 216950 256001 264679 287920 347120 359900 433900 449875 512002 529358 542375 719800 867800 899750 1024004 1058716 1084750 1280005 1323395 1439600 1735600 1799500 2048008 2117432 2169500 2560010 2646790 3599000 4096016 4234864 4339000 5120020 5293580 6400025 6616975 7198000 8678000 10240040 10587160 12800050 13233950 15616061 20480080 21174320 25600100 26467900 31232122 32000125 33084875 51200200 52935800 62464244 64000250 66169750 78080305 102400400 105871600 124928488 128000500 132339500 156160610 249856976 256001000 264679000 312321220 390401525 512002000 529358000 624642440 780803050 1249284880 1561606100 1952007625 3123212200 3904015250 6246424400 7808030500 15616061000 31232122000