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103320031104 = 2732127706201
BaseRepresentation
bin110000000111001011…
…0101000111110000000
3100212200112212101201200
41200032112220332000
53143044411443404
6115244202501200
710315236526323
oct1401626507600
9325615771650
10103320031104
113a8aa511664
1218035804800
1399875b63a4
145001d727ba
152a4a947839
hex180e5a8f80

103320031104 has 96 divisors (see below), whose sum is σ = 299655632640. Its totient is φ = 34168780800.

The previous prime is 103320031093. The next prime is 103320031109. The reversal of 103320031104 is 401130023301.

103320031104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320031109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206797 + ... + 499404.

It is an arithmetic number, because the mean of its divisors is an integer number (3121412840).

Almost surely, 2103320031104 is an apocalyptic number.

It is an amenable number.

103320031104 is an abundant number, since it is smaller than the sum of its proper divisors (196335601536).

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

103320031104 is a wasteful number, since it uses less digits than its factorization.

103320031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706348 (or 706333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103320031104 its reverse (401130023301), we get a palindrome (504450054405).

The spelling of 103320031104 in words is "one hundred three billion, three hundred twenty million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 1016 1143 1152 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 36576 48768 73152 146304 706201 1412402 2118603 2824804 4237206 5649608 6355809 8474412 11299216 12711618 16948824 22598432 25423236 33897648 45196864 50846472 67795296 89687527 90393728 101692944 135590592 179375054 203385888 269062581 271181184 358750108 406771776 538125162 717500216 807187743 813543552 1076250324 1435000432 1614375486 2152500648 2870000864 3228750972 4305001296 5740001728 6457501944 8610002592 11480003456 12915003888 17220005184 25830007776 34440010368 51660015552 103320031104