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1114505134353 = 33132476185193
BaseRepresentation
bin10000001101111101101…
…011101100000100010001
310221112201210000221101000
4100031331223230010101
5121230001303244403
62211555132532213
7143343322222662
oct20157553540421
93845653027330
101114505134353
1139a728103136
1215bbb9621069
1381135c49200
143bd29ab1369
151dece1137a3
hex1037daec111

1114505134353 has 96 divisors (see below), whose sum is σ = 1855893358080. Its totient is φ = 660244815360.

The previous prime is 1114505134343. The next prime is 1114505134357. The reversal of 1114505134353 is 3534315054111.

1114505134353 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 50 + 513 + 43 + 53 = 666.

It is not a de Polignac number, because 1114505134353 - 25 = 1114505134321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1114505134357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13039525 + ... + 13124717.

It is an arithmetic number, because the mean of its divisors is an integer number (19332222480).

Almost surely, 21114505134353 is an apocalyptic number.

1114505134353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1114505134353 is a deficient number, since it is larger than the sum of its proper divisors (741388223727).

1114505134353 is a wasteful number, since it uses less digits than its factorization.

1114505134353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85336 (or 85317 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1114505134353 in words is "one trillion, one hundred fourteen billion, five hundred five million, one hundred thirty-four thousand, three hundred fifty-three".

Divisors: 1 3 9 13 27 39 47 61 117 141 169 183 351 423 507 549 611 793 1269 1521 1647 1833 2379 2867 4563 5499 7137 7943 8601 10309 16497 21411 23829 25803 30927 37271 71487 77409 85193 92781 111813 214461 255579 278343 335439 484523 766737 1006317 1107509 1453569 2300211 3322527 4004071 4360707 5196773 9967581 12012213 13082121 14397617 15590319 29902743 36036639 43192851 46770957 52052923 67558049 108109917 129578553 140312871 156158769 202674147 244248331 388735659 468476307 608022441 676687999 732744993 878254637 1405428921 1824067323 2030063997 2198234979 2634763911 3175228303 6090191991 6594704937 7904291733 9525684909 18270575973 23712875199 28577054727 41277967939 85731164181 123833903817 371501711451 1114505134353