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32312003020 = 225111769112503
BaseRepresentation
bin11110000101111100…
…100000100111001100
310002101212201211021121
4132011330200213030
51012133333044040
622502142210324
72222502331303
oct360574404714
9102355654247
1032312003020
1112781313130
1263192839a4
13307c38071b
1417c751d43a
15c91abbc4a
hex785f209cc

32312003020 has 96 divisors (see below), whose sum is σ = 78497911296. Its totient is φ = 11041766400.

The previous prime is 32312003011. The next prime is 32312003027. The reversal of 32312003020 is 2030021323.

It is a junction number, because it is equal to n+sod(n) for n = 32312002985 and 32312003003.

It is not an unprimeable number, because it can be changed into a prime (32312003027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2578089 + ... + 2590591.

It is an arithmetic number, because the mean of its divisors is an integer number (817686576).

Almost surely, 232312003020 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 32312003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39248955648).

32312003020 is an abundant number, since it is smaller than the sum of its proper divisors (46185908276).

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

32312003020 is a wasteful number, since it uses less digits than its factorization.

32312003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13231 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 32312003020 its reverse (2030021323), we get a palindrome (34342024343).

The spelling of 32312003020 in words is "thirty-two billion, three hundred twelve million, three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 691 748 935 1382 1870 2764 3455 3740 6910 7601 11747 12503 13820 15202 23494 25006 30404 38005 46988 50012 58735 62515 76010 117470 125030 129217 137533 152020 212551 234940 250060 258434 275066 425102 516868 550132 646085 687665 850204 1062755 1292170 1375330 2125510 2338061 2584340 2750660 4251020 4676122 8639573 9352244 11690305 17279146 23380610 34558292 43197865 46761220 86395730 95035303 146872741 172791460 190070606 293745482 380141212 475176515 587490964 734363705 950353030 1468727410 1615600151 1900706060 2937454820 3231200302 6462400604 8078000755 16156001510 32312003020