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211331020000 = 255426340177
BaseRepresentation
bin1100010011010001001…
…1110111010011100000
3202012111000121010210211
43010310103313103200
511430301220120000
6241030101103504
721160660013512
oct3046423672340
9665430533724
10211331020000
1181696940241
1234b5a3b7b94
1316c0b9b5939
14a32ad1bbb2
15576d0ed7ba
hex31344f74e0

211331020000 has 120 divisors (see below), whose sum is σ = 521895827376. Its totient is φ = 84208896000.

The previous prime is 211331019953. The next prime is 211331020001. The reversal of 211331020000 is 20133112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211331020001) 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, 5239912 + ... + 5280088.

Almost surely, 2211331020000 is an apocalyptic number.

211331020000 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 211331020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260947913688).

211331020000 is an abundant number, since it is smaller than the sum of its proper divisors (310564807376).

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

211331020000 is an equidigital number, since it uses as much as digits as its factorization.

211331020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40470 (or 40447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 211331020000 its reverse (20133112), we get a palindrome (211351153112).

The spelling of 211331020000 in words is "two hundred eleven billion, three hundred thirty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 263 400 500 526 625 800 1000 1052 1250 1315 2000 2104 2500 2630 4000 4208 5000 5260 6575 8416 10000 10520 13150 20000 21040 26300 32875 40177 42080 52600 65750 80354 105200 131500 160708 164375 200885 210400 263000 321416 328750 401770 526000 642832 657500 803540 1004425 1052000 1285664 1315000 1607080 2008850 2630000 3214160 4017700 5022125 5260000 6428320 8035400 10044250 10566551 16070800 20088500 21133102 25110625 32141600 40177000 42266204 50221250 52832755 80354000 84532408 100442500 105665510 160708000 169064816 200885000 211331020 264163775 338129632 401770000 422662040 528327550 803540000 845324080 1056655100 1320818875 1690648160 2113310200 2641637750 4226620400 5283275500 6604094375 8453240800 10566551000 13208188750 21133102000 26416377500 42266204000 52832755000 105665510000 211331020000