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1053141451011 = 321326183163839
BaseRepresentation
bin11110101001101000001…
…11110100000100000011
310201200100020102211202100
433110310013310010003
5114223313202413021
62123450112121443
7136041553430046
oct17246407640403
93650306384670
101053141451011
113766a8991651
12150132b36283
1378406b17700
1438d88080c5d
151c5dbce1626
hexf5341f4103

1053141451011 has 144 divisors (see below), whose sum is σ = 1706823256320. Its totient is φ = 625172670720.

The previous prime is 1053141451007. The next prime is 1053141451027. The reversal of 1053141451011 is 1101541413501.

It is a happy number.

1053141451011 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 141 + 4 + 510 + 1 + 1 = 666.

It is not a de Polignac number, because 1053141451011 - 22 = 1053141451007 is a prime.

It is a super-2 number, since 2×10531414510112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053141453011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1255233730 + ... + 1255234568.

It is an arithmetic number, because the mean of its divisors is an integer number (11852939280).

Almost surely, 21053141451011 is an apocalyptic number.

1053141451011 is a deficient number, since it is larger than the sum of its proper divisors (653681805309).

1053141451011 is a wasteful number, since it uses less digits than its factorization.

1053141451011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 1053141451011 its reverse (1101541413501), we get a palindrome (2154682864512).

The spelling of 1053141451011 in words is "one trillion, fifty-three billion, one hundred forty-one million, four hundred fifty-one thousand, eleven".

Divisors: 1 3 9 13 39 61 83 117 163 169 183 249 489 507 549 747 793 839 1079 1467 1521 2119 2379 2517 3237 5063 6357 7137 7551 9711 9943 10309 10907 13529 14027 15189 19071 27547 29829 30927 32721 40587 42081 45567 51179 65819 69637 82641 89487 92781 98163 121761 126243 129259 136757 141791 153537 175877 197457 208911 247923 387777 410271 425373 460611 527631 592371 626733 665327 825269 855647 905281 1163331 1230813 1276119 1582893 1680367 1777841 1995981 2286401 2475807 2566941 2715843 4247857 5041101 5333523 5987943 6859203 7427421 7700823 8147529 8342177 8649251 10728497 11350831 11768653 12743571 15123303 16000569 20577609 23111933 25026531 25947753 32185491 34052493 35305959 38230713 55222141 69335799 75079593 77843259 96556473 102157479 105917877 108448301 139470461 147560803 165666423 208007397 325344903 418411383 442682409 496999269 692400691 717887833 976034709 1255234149 1328047227 1409827913 1918290439 2077202073 2153663499 4229483739 5754871317 6231606219 6460990497 9001208983 12688451217 17264613951 27003626949 81010880847 117015716779 351047150337 1053141451011