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1034031241012 = 22721123131159179
BaseRepresentation
bin11110000110000010001…
…00001001011100110100
310122212000102012120220211
433003001010021130310
5113420143444203022
62111005530035204
7134464154346100
oct17030104113464
93585012176824
101034031241012
11369591750a70
1214849ab78b04
137667c8a0143
1438094018900
151bd6e236e77
hexf0c1109734

1034031241012 has 144 divisors (see below), whose sum is σ = 2414503365120. Its totient is φ = 382409227200.

The previous prime is 1034031240971. The next prime is 1034031241027. The reversal of 1034031241012 is 2101421304301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416439 + ... + 6575617.

It is an arithmetic number, because the mean of its divisors is an integer number (16767384480).

Almost surely, 21034031241012 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 1034031241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207251682560).

1034031241012 is an abundant number, since it is smaller than the sum of its proper divisors (1380472124108).

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

1034031241012 is a wasteful number, since it uses less digits than its factorization.

1034031241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159362 (or 159353 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1034031241012 its reverse (2101421304301), we get a palindrome (3135452545313).

The spelling of 1034031241012 in words is "one trillion, thirty-four billion, thirty-one million, two hundred forty-one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 131 154 161 196 253 262 308 322 506 524 539 644 917 1012 1078 1127 1441 1771 1834 2156 2254 2882 3013 3542 3668 4508 5764 6026 6419 7084 10087 12052 12397 12838 20174 21091 24794 25676 33143 40348 42182 49588 66286 70609 84364 132572 141218 147637 159179 232001 282436 295274 318358 464002 590548 636716 928004 1114253 1624007 1750969 2228506 3248014 3501938 3661117 4457012 6496028 7003876 7322234 7799771 12256783 14644468 15599542 20852449 24513566 25627819 31199084 40272287 41704898 49027132 51255638 80544574 83409796 85797481 102511276 145967143 161089148 171594962 179394733 229376939 281906009 291934286 343189924 358789466 458753878 479606327 563812018 583868572 717578932 917507756 959212654 1021770001 1127624036 1605638573 1918425308 1973342063 2043540002 3211277146 3357244289 3946684126 4087080004 5275669597 6422554292 6714488578 7893368252 10551339194 11239470011 13428977156 21102678388 22478940022 23500710023 36929687179 44957880044 47001420046 73859374358 94002840092 147718748716 258507810253 517015620506 1034031241012