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103459249348 = 227213613312011
BaseRepresentation
bin110000001011010100…
…1101101110011000100
3100220001020211102020221
41200112221231303010
53143341031434343
6115310054434124
710321550052400
oct1402651556304
9326036742227
10103459249348
113a97105a364
1218074362944
1399aa3ab950
145016652100
152a57c975ed
hex1816a6dcc4

103459249348 has 144 divisors (see below), whose sum is σ = 231344234688. Its totient is φ = 40116384000.

The previous prime is 103459249301. The next prime is 103459249381. The reversal of 103459249348 is 843942954301.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 103459249295 and 103459249304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51445663 + ... + 51447673.

Almost surely, 2103459249348 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 103459249348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115672117344).

103459249348 is an abundant number, since it is smaller than the sum of its proper divisors (127884985340).

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

103459249348 is a wasteful number, since it uses less digits than its factorization.

103459249348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 103459249348 in words is "one hundred three billion, four hundred fifty-nine million, two hundred forty-nine thousand, three hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 61 91 98 122 182 196 244 331 364 427 637 662 793 854 1274 1324 1586 1708 2011 2317 2548 2989 3172 4022 4303 4634 5551 5978 8044 8606 9268 11102 11956 14077 16219 17212 20191 22204 26143 28154 30121 32438 38857 40382 52286 56308 60242 64876 77714 80764 98539 104572 120484 122671 141337 155428 183001 197078 210847 245342 262483 282674 366002 394156 421694 490684 524966 565348 665641 732004 843388 858697 989359 1049932 1281007 1331282 1594723 1717394 1837381 1978718 2562014 2662564 3189446 3434788 3674762 3957436 4659487 5124028 6010879 6378892 7349524 8653333 9318974 11163061 12021758 12861667 17306666 18637948 22326122 24043516 25723334 32616409 34613332 40604101 44652244 51446668 60573331 65232818 78141427 81208202 121146662 130465636 156282854 162416404 242293324 284228707 312565708 424013317 527853313 568457414 848026634 1055706626 1136914828 1696053268 1989600949 2111413252 3694973191 3979201898 7389946382 7958403796 14779892764 25864812337 51729624674 103459249348