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20301313033332 = 22333711874280041
BaseRepresentation
bin1001001110110110001001…
…00011010100010001110100
32122212210020102002112112000
410213123010203110101310
510130104042114031312
6111102143334055300
74163502314366622
oct447330443242164
978783212075460
1020301313033332
116517813a53751
12233a6447aa530
13b43537161a36
14502835914512
1525313c95badc
hex1276c48d4474

20301313033332 has 96 divisors (see below), whose sum is σ = 54101100493440. Its totient is φ = 6578661162240.

The previous prime is 20301313033291. The next prime is 20301313033333. The reversal of 20301313033332 is 23333031310302.

20301313033332 is a `hidden beast` number, since 20 + 3 + 0 + 1 + 3 + 1 + 303 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20301313033296 and 20301313033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301313033333) 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, 2603232 + ... + 6883272.

It is an arithmetic number, because the mean of its divisors is an integer number (563553130140).

Almost surely, 220301313033332 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 20301313033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27050550246720).

20301313033332 is an abundant number, since it is smaller than the sum of its proper divisors (33799787460108).

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

20301313033332 is a wasteful number, since it uses less digits than its factorization.

20301313033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281278 (or 4281270 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 20301313033332 its reverse (23333031310302), we get a palindrome (43634344343634).

The spelling of 20301313033332 in words is "twenty trillion, three hundred one billion, three hundred thirteen million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1187 1332 1998 2374 3561 3996 4748 7122 10683 14244 21366 32049 42732 43919 64098 87838 128196 131757 175676 263514 395271 527028 790542 1185813 1581084 2371626 4280041 4743252 8560082 12840123 17120164 25680246 38520369 51360492 77040738 115561107 154081476 158361517 231122214 316723034 462244428 475084551 633446068 950169102 1425253653 1900338204 2850507306 4275760959 5080408667 5701014612 8551521918 10160817334 15241226001 17103043836 20321634668 30482452002 45723678003 60964904004 91447356006 137171034009 182894712012 187975120679 274342068018 375950241358 548684136036 563925362037 751900482716 1127850724074 1691776086111 2255701448148 3383552172222 5075328258333 6767104344444 10150656516666 20301313033332