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13030030023032 = 23111743532338053
BaseRepresentation
bin1011110110011100101001…
…0011111001100101111000
31201010122210012021202111202
42331213022103321211320
53201441000141214112
643413525124113332
72513250201523061
oct275471223714570
951118705252452
1013030030023032
11417400628a550
121565382835848
1373695a332b09
1433092a447568
15178e1ac416c2
hexbd9ca4f9978

13030030023032 has 128 divisors (see below), whose sum is σ = 28882584149760. Its totient is φ = 5443542558720.

The previous prime is 13030030023013. The next prime is 13030030023067. The reversal of 13030030023032 is 23032003003031.

It is a super-2 number, since 2×130300300230322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13030030022995 and 13030030023013.

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, 342398918 + ... + 342436970.

It is an arithmetic number, because the mean of its divisors is an integer number (225645188670).

Almost surely, 213030030023032 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 13030030023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14441292074880).

13030030023032 is an abundant number, since it is smaller than the sum of its proper divisors (15852554126728).

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

13030030023032 is a wasteful number, since it uses less digits than its factorization.

13030030023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43453 (or 43449 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13030030023032 its reverse (23032003003031), we get a palindrome (36062033026063).

The spelling of 13030030023032 in words is "thirteen trillion, thirty billion, thirty million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3784 5323 5848 8041 10646 16082 21292 32164 38053 42584 58553 64328 76106 90491 117106 152212 180982 228889 234212 304424 361964 418583 457778 468424 646901 723928 837166 915556 995401 1293802 1636279 1674332 1831112 1990802 2517779 2587604 3272558 3348664 3891113 3981604 5035558 5175208 6545116 7115911 7782226 7963208 10071116 13090232 14231822 15564452 17999069 20142232 27816743 28463644 31128904 35998138 42802243 55633486 56927288 71996276 85604486 111266972 143992552 171208972 202556119 222533944 305984173 342417944 405112238 611968346 810224476 1223936692 1620448952 2228117309 2447873384 3443454023 4456234618 6886908046 8709913117 8912469236 13773816092 17419826234 17824938472 27547632184 34839652468 37877994253 69679304936 75755988506 95809044287 148068522989 151511977012 191618088574 296137045978 303023954024 383236177148 592274091956 766472354296 1184548183912 1628753752879 3257507505758 6515015011516 13030030023032