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103212340440 = 23351178191167
BaseRepresentation
bin110000000011111101…
…1110101010011011000
3100212102001020010220120
41200013323311103120
53142334324343230
6115225354353240
710312461263346
oct1400773652330
9325361203816
10103212340440
113a854748010
121800572b820
13996b1ac1c1
144dd193c996
152a41274310
hex1807ef54d8

103212340440 has 64 divisors (see below), whose sum is σ = 337785845760. Its totient is φ = 25021173120.

The previous prime is 103212340433. The next prime is 103212340457. The reversal of 103212340440 is 44043212301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103212340440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39094264 + ... + 39096903.

It is an arithmetic number, because the mean of its divisors is an integer number (5277903840).

Almost surely, 2103212340440 is an apocalyptic number.

103212340440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212340440 is an abundant number, since it is smaller than the sum of its proper divisors (234573505320).

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

103212340440 is a wasteful number, since it uses less digits than its factorization.

103212340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78191192 (or 78191188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103212340440 its reverse (44043212301), we get a palindrome (147255552741).

The spelling of 103212340440 in words is "one hundred three billion, two hundred twelve million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 78191167 156382334 234573501 312764668 390955835 469147002 625529336 781911670 860102837 938294004 1172867505 1563823340 1720205674 1876588008 2345735010 2580308511 3127646680 3440411348 4300514185 4691470020 5160617022 6880822696 8601028370 9382940040 10321234044 12901542555 17202056740 20642468088 25803085110 34404113480 51606170220 103212340440