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2022001002120 = 2335112207969379
BaseRepresentation
bin11101011011001000101…
…001101100011010001000
321011022010201121120002110
4131123020221230122020
5231112024224031440
64144521110502320
7266041032636261
oct35331051543210
97138121546073
102022001002120
1170a586941370
12287a640649a0
1311889b677518
146dc18811968
15378e4758080
hex1d6c8a6c688

2022001002120 has 128 divisors (see below), whose sum is σ = 6617852928000. Its totient is φ = 490152794880.

The previous prime is 2022001002113. The next prime is 2022001002179. The reversal of 2022001002120 is 212001002202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2022001002096 and 2022001002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29109591 + ... + 29178969.

It is an arithmetic number, because the mean of its divisors is an integer number (51701976000).

Almost surely, 22022001002120 is an apocalyptic number.

2022001002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022001002120 is an abundant number, since it is smaller than the sum of its proper divisors (4595851925880).

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

2022001002120 is a wasteful number, since it uses less digits than its factorization.

2022001002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91483 (or 91479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022001002120 its reverse (212001002202), we get a palindrome (2234002004322).

The spelling of 2022001002120 in words is "two trillion, twenty-two billion, one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 22079 44158 66237 69379 88316 110395 132474 138758 176632 208137 220790 242869 264948 277516 331185 346895 416274 441580 485738 529896 555032 662370 693790 728607 763169 832548 883160 971476 1040685 1214345 1324740 1387580 1457214 1526338 1665096 1942952 2081370 2289507 2428690 2649480 2775160 2914428 3052676 3643035 3815845 4162740 4579014 4857380 5828856 6105352 7286070 7631690 8325480 9158028 9714760 11447535 14572140 15263380 18316056 22895070 29144280 30526760 45790140 91580280 1531818941 3063637882 4595456823 6127275764 7659094705 9190913646 12254551528 15318189410 16850008351 18381827292 22977284115 30636378820 33700016702 36763654584 45954568230 50550025053 61272757640 67400033404 84250041755 91909136460 101100050106 134800066808 168500083510 183818272920 202200100212 252750125265 337000167020 404400200424 505500250530 674000334040 1011000501060 2022001002120