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1054213004124 = 2232729212967757
BaseRepresentation
bin11110101011100111111…
…11011101101101011100
310201210002220202101021200
433111303333131231130
5114233012012112444
62124144311155500
7136110244453440
oct17256377355534
93653086671250
101054213004124
113770a8837335
12150391975b90
1378547b182c7
143904a4d6820
151c650e08969
hexf573fddb5c

1054213004124 has 144 divisors (see below), whose sum is σ = 3152047953600. Its totient is φ = 290676492288.

The previous prime is 1054213004111. The next prime is 1054213004149. The reversal of 1054213004124 is 4214003124501.

It is a super-2 number, since 2×10542130041242 (a number of 25 digits) contains 22 as substring.

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, 15524854 + ... + 15592610.

It is an arithmetic number, because the mean of its divisors is an integer number (21889221900).

Almost surely, 21054213004124 is an apocalyptic number.

1054213004124 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 1054213004124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576023976800).

1054213004124 is an abundant number, since it is smaller than the sum of its proper divisors (2097834949476).

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

1054213004124 is a wasteful number, since it uses less digits than its factorization.

1054213004124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69932 (or 69927 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1054213004124 its reverse (4214003124501), we get a palindrome (5268216128625).

The spelling of 1054213004124 in words is "one trillion, fifty-four billion, two hundred thirteen million, four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2129 2436 3654 4258 6387 7308 8516 12774 14903 19161 25548 29806 38322 44709 59612 61741 67757 76644 89418 123482 134127 135514 178836 185223 203271 246964 268254 271028 370446 406542 432187 474299 536508 555669 609813 740892 813084 864374 948598 1111338 1219626 1296561 1422897 1728748 1897196 1964953 2222676 2439252 2593122 2845794 3889683 3929906 4268691 5186244 5691588 5894859 7779366 7859812 8537382 11789718 13754671 15558732 17074764 17684577 23579436 27509342 35369154 41264013 55018684 70738308 82528026 123792039 144254653 165056052 247584078 288509306 432763959 495168156 577018612 865527918 1009782571 1298291877 1731055836 2019565142 2596583754 3029347713 4039130284 4183384937 5193167508 6058695426 8366769874 9088043139 12117390852 12550154811 16733539748 18176086278 25100309622 29283694559 36352172556 37650464433 50200619244 58567389118 75300928866 87851083677 117134778236 150601857732 175702167354 263553251031 351404334708 527106502062 1054213004124