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103323132330 = 23511378779649
BaseRepresentation
bin110000000111010001…
…0011110000110101010
3100212200202200221210220
41200032202132012222
53143101210213310
6115244353150510
710315305063645
oct1401642360652
9325622627726
10103323132330
113a90123a660
121803685b436
139988130b32
14500253ca5c
152a4ad5b670
hex180e89e1aa

103323132330 has 128 divisors (see below), whose sum is σ = 278175686400. Its totient is φ = 24340746240.

The previous prime is 103323132259. The next prime is 103323132371. The reversal of 103323132330 is 33231323301.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103323132330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10703346 + ... + 10712994.

It is an arithmetic number, because the mean of its divisors is an integer number (2173247550).

Almost surely, 2103323132330 is an apocalyptic number.

103323132330 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 103323132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139087843200).

103323132330 is an abundant number, since it is smaller than the sum of its proper divisors (174852554070).

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

103323132330 is a wasteful number, since it uses less digits than its factorization.

103323132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103323132330 its reverse (33231323301), we get a palindrome (136554455631).

The spelling of 103323132330 in words is "one hundred three billion, three hundred twenty-three million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 877 1110 1221 1754 2035 2442 2631 4070 4385 5262 6105 8770 9647 9649 12210 13155 19294 19298 26310 28941 28947 32449 48235 48245 57882 57894 64898 96470 96490 97347 106139 144705 144735 162245 194694 212278 289410 289470 318417 324490 356939 357013 486735 530695 636834 713878 714026 973470 1061390 1070817 1071039 1592085 1784695 1785065 2141634 2142078 3184170 3569390 3570130 3927143 5354085 5355195 7854286 8462173 10708170 10710390 11781429 16924346 19635715 23562858 25386519 39271430 42310865 50773038 58907145 84621730 93083903 117814290 126932595 186167806 253865190 279251709 313100401 465419515 558503418 626200802 930839030 939301203 1396258545 1565502005 1878602406 2792517090 3131004010 3444104411 4696506015 6888208822 9393012030 10332313233 17220522055 20664626466 34441044110 51661566165 103323132330