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1011211032104 = 2371323131461011
BaseRepresentation
bin11101011011100001101…
…11111101011000101000
310120200010000221212100022
432231300313331120220
5113031430011011404
62052313253500012
7133025515644560
oct16556067753050
93520100855308
101011211032104
1135a9412a1289
12143b90641608
1374483b40a50
1436d2b36bda0
151b485add8be
hexeb70dfd628

1011211032104 has 128 divisors (see below), whose sum is σ = 2453616506880. Its totient is φ = 379724716800.

The previous prime is 1011211031993. The next prime is 1011211032109. The reversal of 1011211032104 is 4012301121101.

It is a super-3 number, since 3×10112110321043 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011211032109) by changing a digit.

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, 1962959 + ... + 2423969.

It is an arithmetic number, because the mean of its divisors is an integer number (19168878960).

Almost surely, 21011211032104 is an apocalyptic number.

1011211032104 is a gapful number since it is divisible by the number (14) 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 1011211032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226808253440).

1011211032104 is an abundant number, since it is smaller than the sum of its proper divisors (1442405474776).

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

1011211032104 is a wasteful number, since it uses less digits than its factorization.

1011211032104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461191 (or 461187 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1011211032104 its reverse (4012301121101), we get a palindrome (5023512153205).

The spelling of 1011211032104 in words is "one trillion, eleven billion, two hundred eleven million, thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 131 161 182 184 262 299 322 364 524 598 644 728 917 1048 1196 1288 1703 1834 2093 2392 3013 3406 3668 4186 6026 6812 7336 8372 11921 12052 13624 16744 21091 23842 24104 39169 42182 47684 78338 84364 95368 156676 168728 274183 313352 461011 548366 922022 1096732 1844044 2193464 3227077 3688088 5993143 6454154 10603253 11986286 12908308 21206506 23972572 25816616 41952001 42413012 47945144 60392441 74222771 83904002 84826024 120784882 137842289 148445542 167808004 241569764 275684578 296891084 335616008 422747087 483139528 551369156 593782168 785101733 845494174 964896023 1102738312 1389026143 1570203466 1690988348 1929792046 2778052286 3140406932 3381976696 3859584092 5495712131 5556104572 6280813864 7719168184 9723183001 10991424262 11112209144 18057339859 19446366002 21982848524 36114679718 38892732004 43965697048 72229359436 77785464008 126401379013 144458718872 252802758026 505605516052 1011211032104