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10203042504144 = 2437175213428497
BaseRepresentation
bin1001010001111001010010…
…1110010101110111010000
31100010101211120112011101110
42110132110232111313100
52314131312340113034
633411114002333320
72102100622221630
oct224362456256720
940111746464343
1010203042504144
1132840a4556656
12118950235a240
135901b18c14b9
14273b8931c6c0
1512a610554de9
hex94794b95dd0

10203042504144 has 160 divisors (see below), whose sum is σ = 31956453870336. Its totient is φ = 2738408325120.

The previous prime is 10203042504089. The next prime is 10203042504199. The reversal of 10203042504144 is 44140524030201.

10203042504144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10203042504089) and next prime (10203042504199).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261704 + ... + 4690200.

Almost surely, 210203042504144 is an apocalyptic number.

10203042504144 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 10203042504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978226935168).

10203042504144 is an abundant number, since it is smaller than the sum of its proper divisors (21753411366192).

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

10203042504144 is a wasteful number, since it uses less digits than its factorization.

10203042504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429053 (or 3429047 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10203042504144 its reverse (44140524030201), we get a palindrome (54343566534345).

The spelling of 10203042504144 in words is "ten trillion, two hundred three billion, forty-two million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 521 714 816 952 1042 1428 1563 1904 2084 2856 3126 3647 4168 5712 6252 7294 8336 8857 10941 12504 14588 17714 21882 25008 26571 29176 35428 43764 53142 58352 61999 70856 87528 106284 123998 141712 175056 185997 212568 247996 371994 425136 495992 743988 991984 1487976 2975952 3428497 6856994 10285491 13713988 20570982 23999479 27427976 41141964 47998958 54855952 58284449 71998437 82283928 95997916 116568898 143996874 164567856 174853347 191995832 233137796 287993748 349706694 383991664 407991143 466275592 575987496 699413388 815982286 932551184 1151974992 1223973429 1398826776 1631964572 1786246937 2447946858 2797653552 3263929144 3572493874 4895893716 5358740811 6527858288 7144987748 9791787432 10717481622 12503728559 14289975496 19583574864 21434963244 25007457118 28579950992 30366197929 37511185677 42869926488 50014914236 60732395858 75022371354 85739852976 91098593787 100029828472 121464791716 150044742708 182197187574 200059656944 212563385503 242929583432 300089485416 364394375148 425126771006 485859166864 600178970832 637690156509 728788750296 850253542012 1275380313018 1457577500592 1700507084024 2550760626036 3401014168048 5101521252072 10203042504144