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17114357130 = 235131724110711
BaseRepresentation
bin11111111000001100…
…00101110110001010
31122011201200102101220
433330012011312022
5240022233412010
611510124022510
71144052430633
oct177406056612
948151612356
1017114357130
117292676902
123397691a36
1317c98c2a50
14b84d6a88a
156a2765970
hex3fc185d8a

17114357130 has 128 divisors (see below), whose sum is σ = 47034763776. Its totient is φ = 3948134400.

The previous prime is 17114357129. The next prime is 17114357137. The reversal of 17114357130 is 3175341171.

It is a junction number, because it is equal to n+sod(n) for n = 17114357091 and 17114357100.

It is not an unprimeable number, because it can be changed into a prime (17114357137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1592475 + ... + 1603185.

It is an arithmetic number, because the mean of its divisors is an integer number (367459092).

Almost surely, 217114357130 is an apocalyptic number.

17114357130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17114357130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517381888).

17114357130 is an abundant number, since it is smaller than the sum of its proper divisors (29920406646).

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

17114357130 is a wasteful number, since it uses less digits than its factorization.

17114357130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992.

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 17114357130 in words is "seventeen billion, one hundred fourteen million, three hundred fifty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 241 255 390 442 482 510 663 723 1105 1205 1326 1446 2210 2410 3133 3315 3615 4097 6266 6630 7230 8194 9399 10711 12291 15665 18798 20485 21422 24582 31330 32133 40970 46995 53261 53555 61455 64266 93990 106522 107110 122910 139243 159783 160665 182087 266305 278486 319566 321330 364174 417729 532610 546261 696215 798915 835458 910435 1092522 1392430 1597830 1820870 2088645 2367131 2581351 2731305 4177290 4734262 5162702 5462610 7101393 7744053 11835655 12906755 14202786 15488106 23671310 25813510 33557563 35506965 38720265 43882967 67115126 71013930 77440530 87765934 100672689 131648901 167787815 201345378 219414835 263297802 335575630 438829670 503363445 570478571 658244505 1006726890 1140957142 1316489010 1711435713 2852392855 3422871426 5704785710 8557178565 17114357130