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103203014432 = 257323408809
BaseRepresentation
bin110000000011101100…
…0010000011100100000
3100212101101200100000212
41200013120100130200
53142324432430212
6115224422433252
710312316102000
oct1400730203440
9325341610025
10103203014432
113a84a458271
1218002592828
13996929535b
144dd05d2000
152a40530e22
hex1807610720

103203014432 has 96 divisors (see below), whose sum is σ = 247248288000. Its totient is φ = 42306722304.

The previous prime is 103203014353. The next prime is 103203014443. The reversal of 103203014432 is 234410302301.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 103203014398 and 103203014407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48044 + ... + 456852.

It is an arithmetic number, because the mean of its divisors is an integer number (2575503000).

Almost surely, 2103203014432 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 103203014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123624144000).

103203014432 is an abundant number, since it is smaller than the sum of its proper divisors (144045273568).

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

103203014432 is an equidigital number, since it uses as much as digits as its factorization.

103203014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408863 (or 408841 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 103203014432 its reverse (234410302301), we get a palindrome (337613316733).

The spelling of 103203014432 in words is "one hundred three billion, two hundred three million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 343 368 392 644 686 736 784 1127 1288 1372 1568 2254 2576 2744 4508 5152 5488 7889 9016 10976 15778 18032 31556 36064 63112 126224 252448 408809 817618 1635236 2861663 3270472 5723326 6540944 9402607 11446652 13081888 18805214 20031641 22893304 37610428 40063282 45786608 65818249 75220856 80126564 91573216 131636498 140221487 150441712 160253128 263272996 280442974 300883424 320506256 460727743 526545992 560885948 641012512 921455486 1053091984 1121771896 1842910972 2106183968 2243543792 3225094201 3685821944 4487087584 6450188402 7371643888 12900376804 14743287776 25800753608 51601507216 103203014432