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103214032240 = 24511294044437
BaseRepresentation
bin110000000100000001…
…0010010010101110000
3100212102011102002121211
41200020002102111300
53142340243012430
6115225454525504
710312511540614
oct1401002222560
9325364362554
10103214032240
113a8556a30a0
1218006206894
13996b652277
144dd1c5d344
152a414aa72a
hex1808092570

103214032240 has 80 divisors (see below), whose sum is σ = 270815568480. Its totient is φ = 36238146560.

The previous prime is 103214032217. The next prime is 103214032267. The reversal of 103214032240 is 42230412301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996699 + ... + 2047738.

It is an arithmetic number, because the mean of its divisors is an integer number (3385194606).

Almost surely, 2103214032240 is an apocalyptic number.

103214032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103214032240 is an abundant number, since it is smaller than the sum of its proper divisors (167601536240).

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

103214032240 is a wasteful number, since it uses less digits than its factorization.

103214032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044490 (or 4044484 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103214032240 its reverse (42230412301), we get a palindrome (145444444541).

The spelling of 103214032240 in words is "one hundred three billion, two hundred fourteen million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 4044437 8088874 16177748 20222185 32355496 40444370 44488807 64710992 80888740 88977614 117288673 161777480 177955228 222444035 234577346 323554960 355910456 444888070 469154692 586443365 711820912 889776140 938309384 1172886730 1290175403 1779552280 1876618768 2345773460 2580350806 3559104560 4691546920 5160701612 6450877015 9383093840 10321403224 12901754030 20642806448 25803508060 51607016120 103214032240