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20232122001132 = 223171371903138039
BaseRepresentation
bin1001001100110101010000…
…11100011110011011101100
32122122011122100221220211210
410212122220130132123230
510122440341213014012
6111010301502114420
74155502562333646
oct446325034363354
978564570856753
1020232122001132
1164a0438468108
12232915487ba10
13b39b5b4ba072
144dd35051d896
1525143d39523c
hex1266a871e6ec

20232122001132 has 96 divisors (see below), whose sum is σ = 50354067778560. Its totient is φ = 6300504770560.

The previous prime is 20232122001089. The next prime is 20232122001167. The reversal of 20232122001132 is 23110022123202.

It is a junction number, because it is equal to n+sod(n) for n = 20232122001099 and 20232122001108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531859369 + ... + 531897407.

It is an arithmetic number, because the mean of its divisors is an integer number (524521539360).

Almost surely, 220232122001132 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 20232122001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25177033889280).

20232122001132 is an abundant number, since it is smaller than the sum of its proper divisors (30121945777428).

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

20232122001132 is a wasteful number, since it uses less digits than its factorization.

20232122001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57231 (or 57229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20232122001132 its reverse (23110022123202), we get a palindrome (43342144124334).

The spelling of 20232122001132 in words is "twenty trillion, two hundred thirty-two billion, one hundred twenty-two million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 137 204 274 411 548 822 1644 2329 4658 6987 9316 13974 19031 27948 38039 38062 57093 76078 76124 114117 114186 152156 228234 228372 323527 456468 646663 647054 970581 1293326 1294108 1939989 1941162 2586652 2607247 3879978 3882324 5211343 5214494 7759956 7821741 10422686 10428988 15634029 15643482 20845372 31268058 31286964 44323199 62536116 88592831 88646398 132969597 177185662 177292796 265778493 265939194 354371324 531556986 531878388 723920209 1063113972 1447840418 2171760627 2895680836 4343521254 8687042508 12306643553 24613287106 36919930659 49226574212 73839861318 99177068633 147679722636 198354137266 297531205899 396708274532 595062411798 1190124823596 1686010166761 3372020333522 5058030500283 6744040667044 10116061000566 20232122001132