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123203115040 = 2553783250739
BaseRepresentation
bin111001010111101111…
…0100101100000100000
3102210000020101201021211
41302233132211200200
54004304444140130
6132333154155504
711621042125135
oct1625736454040
9383006351254
10123203115040
1148282a45935
121ba64582b94
13b8059a6a05
145d6a90258c
1533112bba2a
hex1caf7a5820

123203115040 has 96 divisors (see below), whose sum is σ = 302536866240. Its totient is φ = 47371428864.

The previous prime is 123203115029. The next prime is 123203115047. The reversal of 123203115040 is 40511302321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123203115047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365991 + ... + 616729.

It is an arithmetic number, because the mean of its divisors is an integer number (3151425690).

Almost surely, 2123203115040 is an apocalyptic number.

123203115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123203115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151268433120).

123203115040 is an abundant number, since it is smaller than the sum of its proper divisors (179333751200).

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

123203115040 is a wasteful number, since it uses less digits than its factorization.

123203115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250874 (or 250866 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 123203115040 its reverse (40511302321), we get a palindrome (163714417361).

The spelling of 123203115040 in words is "one hundred twenty-three billion, two hundred three million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 83 148 160 166 185 296 332 370 415 592 664 740 830 1184 1328 1480 1660 2656 2960 3071 3320 5920 6142 6640 12284 13280 15355 24568 30710 49136 61420 98272 122840 245680 250739 491360 501478 1002956 1253695 2005912 2507390 4011824 5014780 8023648 9277343 10029560 18554686 20059120 20811337 37109372 40118240 41622674 46386715 74218744 83245348 92773430 104056685 148437488 166490696 185546860 208113370 296874976 332981392 371093720 416226740 665962784 742187440 770019469 832453480 1484374880 1540038938 1664906960 3080077876 3329813920 3850097345 6160155752 7700194690 12320311504 15400389380 24640623008 30800778760 61601557520 123203115040