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2742233513103 = 337219659165541
BaseRepresentation
bin100111111001111001110…
…110101011110010001111
3100201011011222011000012000
4213321321312223302033
5324412043234404403
65455433101043343
7402056050161300
oct47717166536217
910634158130160
102742233513103
11967a7a367a17
12383568556553
1316b78c71a246
1496a20c447a7
154b4e9ba87a3
hex27e79dabc8f

2742233513103 has 96 divisors (see below), whose sum is σ = 4982152032000. Its totient is φ = 1482255754560.

The previous prime is 2742233513017. The next prime is 2742233513111. The reversal of 2742233513103 is 3013153322472.

2742233513103 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 2 + 33 + 513 + 103 = 666.

It is not a de Polignac number, because 2742233513103 - 29 = 2742233512591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742233513113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16482513 + ... + 16648053.

It is an arithmetic number, because the mean of its divisors is an integer number (51897417000).

Almost surely, 22742233513103 is an apocalyptic number.

2742233513103 is a deficient number, since it is larger than the sum of its proper divisors (2239918518897).

2742233513103 is a wasteful number, since it uses less digits than its factorization.

2742233513103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166242 (or 166229 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 2742233513103 its reverse (3013153322472), we get a palindrome (5755386835575).

The spelling of 2742233513103 in words is "two trillion, seven hundred forty-two billion, two hundred thirty-three million, five hundred thirteen thousand, one hundred three".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 659 931 1197 1323 1977 2793 3591 4613 5931 8379 12521 13839 17793 25137 32291 37563 41517 87647 96873 112689 124551 165541 262941 290619 338067 496623 613529 788823 871857 1158787 1489869 1840587 2366469 3145279 3476361 4469607 5521761 8111509 9435837 10429083 16565283 22016953 24334527 28307511 31287249 66050859 73003581 84922533 109091519 154118671 198152577 219010743 327274557 462356013 594457731 763640633 981823671 1387068039 2072738861 2290921899 2945471013 4161204117 5345484431 6218216583 6872765697 14509172027 16036453293 18654649749 20618297091 43527516081 48109359879 55963949247 101564204189 130582548243 144328079637 304692612567 391747644729 914077837701 2742233513103