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211332123020 = 225121712377019
BaseRepresentation
bin1100010011010001100…
…0000100100110001100
3202012111002200011212102
43010310120010212030
511430302010414040
6241030140454232
721161002256354
oct3046430044614
9665432604772
10211332123020
1181697523a27
1234b5a84a378
1316c0bcb0a05
14a32b127b64
15576d26a515
hex313460498c

211332123020 has 48 divisors (see below), whose sum is σ = 444584518560. Its totient is φ = 84383084544.

The previous prime is 211332123011. The next prime is 211332123047. The reversal of 211332123020 is 20321233112.

211332123020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113321230202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211332122983 and 211332123001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30105071 + ... + 30112089.

It is an arithmetic number, because the mean of its divisors is an integer number (9262177470).

Almost surely, 2211332123020 is an apocalyptic number.

211332123020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332123020 is an abundant number, since it is smaller than the sum of its proper divisors (233252395540).

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

211332123020 is a wasteful number, since it uses less digits than its factorization.

211332123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211332123020 its reverse (20321233112), we get a palindrome (231653356132).

The spelling of 211332123020 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 1217 1237 2434 2474 4868 4948 6085 6185 7019 12170 12370 14038 24340 24740 28076 35095 70190 140380 1505429 3010858 6021716 7527145 8542123 8682503 15054290 17084246 17365006 30108580 34168492 34730012 42710615 43412515 85421230 86825030 170842460 173650060 10566606151 21133212302 42266424604 52833030755 105666061510 211332123020