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1000020201222 = 2373711317413271
BaseRepresentation
bin11101000110101011101…
…10010100111100000110
310112121020010102202100110
432203111312110330012
5112341020132414342
62043223011253450
7132151301313510
oct16432566247406
93477203382313
101000020201222
11356119373419
121419888aa286
13733bc51c723
1436588dc4bb0
151b02d406c9c
hexe8d5d94f06

1000020201222 has 128 divisors (see below), whose sum is σ = 2370397206528. Its totient is φ = 275295283200.

The previous prime is 1000020201203. The next prime is 1000020201241. The reversal of 1000020201222 is 2221020200001.

It is an interprime number because it is at equal distance from previous prime (1000020201203) and next prime (1000020201241).

It is a junction number, because it is equal to n+sod(n) for n = 1000020201198 and 1000020201207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305721447 + ... + 305724717.

It is an arithmetic number, because the mean of its divisors is an integer number (18518728176).

Almost surely, 21000020201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000020201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185198603264).

1000020201222 is an abundant number, since it is smaller than the sum of its proper divisors (1370377005306).

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

1000020201222 is a wasteful number, since it uses less digits than its factorization.

1000020201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174.

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

Adding to 1000020201222 its reverse (2221020200001), we get a palindrome (3221040401223).

The spelling of 1000020201222 in words is "one trillion, twenty million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 113 222 226 259 339 518 678 777 791 1554 1582 1741 2373 3271 3482 4181 4746 5223 6542 8362 9813 10446 12187 12543 19626 22897 24374 25086 29267 36561 45794 58534 64417 68691 73122 87801 121027 128834 137382 175602 193251 196733 242054 363081 369623 386502 393466 450919 590199 726162 739246 847189 901838 1108869 1180398 1352757 1377131 1694378 2217738 2541567 2587361 2705514 2754262 4131393 5083134 5174722 5694811 7279121 7762083 8262786 11389622 13676051 14558242 15524166 17084433 21837363 27352102 34168866 39863677 41028153 43674726 50953847 79727354 82056306 95732357 101907694 119591031 152861541 191464714 210708007 239182062 287197071 305723082 421416014 574394142 632124021 643513643 1264248042 1287027286 1474956049 1930540929 2949912098 3861081858 4424868147 4504595501 8849736294 9009191002 13513786503 23810004791 27027573006 47620009582 71430014373 142860028746 166670033537 333340067074 500010100611 1000020201222