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1011122022012 = 2232341271329717
BaseRepresentation
bin11101011011010111001…
…00011010011001111100
310120122212211110200110020
432231223210122121330
5113031234214201022
62052300354012140
7133023355244124
oct16555344323174
93518784420406
101011122022012
1135a8a6026723
12143b66877050
137446b57755b
1436d1d5dbc84
151b47cdaa35c
hexeb6b91a67c

1011122022012 has 96 divisors (see below), whose sum is σ = 2531221346304. Its totient is φ = 313362086400.

The previous prime is 1011122021993. The next prime is 1011122022059. The reversal of 1011122022012 is 2102202211101.

It is a junction number, because it is equal to n+sod(n) for n = 1011122021982 and 1011122022000.

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 31 ways as a sum of consecutive naturals, for example, 2901778 + ... + 3231494.

It is an arithmetic number, because the mean of its divisors is an integer number (26366889024).

Almost surely, 21011122022012 is an apocalyptic number.

1011122022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011122022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265610673152).

1011122022012 is an abundant number, since it is smaller than the sum of its proper divisors (1520099324292).

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

1011122022012 is a wasteful number, since it uses less digits than its factorization.

1011122022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330059 (or 330057 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1011122022012 its reverse (2102202211101), we get a palindrome (3113324233113).

The spelling of 1011122022012 in words is "one trillion, eleven billion, one hundred twenty-two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 271 276 492 542 813 943 1084 1626 1886 2829 3252 3772 5658 6233 11111 11316 12466 18699 22222 24932 33333 37398 44444 66666 74796 133332 255553 329717 511106 659434 766659 989151 1022212 1318868 1533318 1978302 3066636 3956604 7583491 13518397 15166982 22750473 27036794 30333964 40555191 45500946 54073588 81110382 89353307 91001892 162220764 178706614 268059921 310923131 357413228 536119842 621846262 932769393 1072239684 1243692524 1865538786 2055126061 3663485587 3731077572 4110252122 6165378183 7326971174 8220504244 10990456761 12330756366 14653942348 21980913522 24661512732 43961827044 84260168501 168520337002 252780505503 337040674004 505561011006 1011122022012