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2001321300222 = 23217229117111329
BaseRepresentation
bin11101000111111000000…
…010111001000011111110
321002022202112002212010100
4131013320002321003332
5230242201223101342
64131221101021530
7264406415241216
oct35077002710376
97068675085110
102001321300222
11701834777242
12283a525548a6
1311695421951a
146cc16157246
15370d3ec8e4c
hex1d1f80b90fe

2001321300222 has 144 divisors (see below), whose sum is σ = 4769597804400. Its totient is φ = 605643816960.

The previous prime is 2001321300191. The next prime is 2001321300283. The reversal of 2001321300222 is 2220031231002.

2001321300222 is a `hidden beast` number, since 20 + 0 + 1 + 321 + 300 + 2 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2001321300195 and 2001321300204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176649054 + ... + 176660382.

It is an arithmetic number, because the mean of its divisors is an integer number (33122206975).

Almost surely, 22001321300222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001321300222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384798902200).

2001321300222 is an abundant number, since it is smaller than the sum of its proper divisors (2768276504178).

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

2001321300222 is a wasteful number, since it uses less digits than its factorization.

2001321300222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12571 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2001321300222 its reverse (2220031231002), we get a palindrome (4221352531224).

The spelling of 2001321300222 in words is "two trillion, one billion, three hundred twenty-one million, three hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 289 306 493 522 578 867 986 1171 1479 1734 2342 2601 2958 3513 4437 5202 7026 8381 8874 10539 11329 16762 19907 21078 22658 25143 33959 33987 39814 50286 59721 67918 67974 75429 101877 101961 119442 150858 179163 192593 203754 203922 305631 328541 338419 358326 385186 577303 577779 611262 657082 676838 985623 1015257 1154606 1155558 1731909 1733337 1971246 2030514 2956869 3045771 3274081 3463818 3466674 5195727 5585197 5913738 6091542 6548162 9814151 9822243 10391454 11170394 13266259 16755591 19628302 19644486 26532518 29442453 29466729 33511182 39798777 50266773 58884906 58933458 79597554 88327359 94948349 100533546 119396331 176654718 189896698 225526403 238792662 284845047 384721511 451052806 569690094 676579209 769443022 854535141 1154164533 1353158418 1709070282 2029737627 2308329066 3462493599 3833948851 4059475254 6540265687 6924987198 7667897702 11501846553 13080531374 19620797061 23003693106 34505539659 39241594122 58862391183 69011079318 111184516679 117724782366 222369033358 333553550037 667107100074 1000660650111 2001321300222