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1010222220112 = 24731213996709
BaseRepresentation
bin11101011001101011110…
…11111100001101010000
310120120120010100000021221
432230311323330031100
5113022413342020422
62052031212054424
7132662151122020
oct16546573741520
93516503300257
101010222220112
1135a48411a196
12143955464414
13743570200b1
1436c75cd3a80
151b428dbc3c7
hexeb35efc350

1010222220112 has 120 divisors (see below), whose sum is σ = 2313404016000. Its totient is φ = 418624277760.

The previous prime is 1010222220107. The next prime is 1010222220121. The reversal of 1010222220112 is 2110222220101.

It is a happy number.

It is a super-3 number, since 3×10102222201123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 150573814 + ... + 150580522.

It is an arithmetic number, because the mean of its divisors is an integer number (19278366800).

Almost surely, 21010222220112 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 1010222220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156702008000).

1010222220112 is an abundant number, since it is smaller than the sum of its proper divisors (1303181795888).

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

1010222220112 is a wasteful number, since it uses less digits than its factorization.

1010222220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1010222220112 its reverse (2110222220101), we get a palindrome (3120444440213).

The spelling of 1010222220112 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 961 1399 1736 1922 2798 3472 3844 5596 6709 6727 7688 9793 11192 13418 13454 15376 19586 22384 26836 26908 39172 43369 46963 53672 53816 78344 86738 93926 107344 107632 156688 173476 187852 207979 303583 346952 375704 415958 607166 693904 751408 831916 1214332 1344439 1455853 1663832 2428664 2688878 2911706 3327664 4857328 5377756 5823412 6447349 9385891 9411073 10755512 11646824 12894698 18771782 18822146 21511024 23293648 25789396 37543564 37644292 45131443 51578792 65701237 75087128 75288584 90262886 103157584 131402474 150174256 150577168 180525772 262804948 290962621 361051544 525609896 581925242 722103088 1051219792 1163850484 2036738347 2327700968 4073476694 4655401936 8146953388 9019841251 16293906776 18039682502 32587813552 36079365004 63138888757 72158730008 126277777514 144317460016 252555555028 505111110056 1010222220112