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2315103320 = 23537109113127
BaseRepresentation
bin1000100111111101…
…1010110001011000
312222100021102201102
42021333122301120
514220131301240
61021420410532
7111241024235
oct21177326130
95870242642
102315103320
11a888a7432
125473a6a48
132ab83282a
1417d68078c
15d83a6815
hex89fdac58

2315103320 has 128 divisors (see below), whose sum is σ = 5489510400. Its totient is φ = 877879296.

The previous prime is 2315103289. The next prime is 2315103353. The reversal of 2315103320 is 233015132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2315103292 and 2315103301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18229097 + ... + 18229223.

It is an arithmetic number, because the mean of its divisors is an integer number (42886800).

Almost surely, 22315103320 is an apocalyptic number.

2315103320 is a gapful number since it is divisible by the number (20) 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 2315103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744755200).

2315103320 is an abundant number, since it is smaller than the sum of its proper divisors (3174407080).

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

2315103320 is a wasteful number, since it uses less digits than its factorization.

2315103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 2315103320 is about 48115.5205728879. The cubic root of 2315103320 is about 1322.8891645026.

Adding to 2315103320 its reverse (233015132), we get a palindrome (2548118452).

The spelling of 2315103320 in words is "two billion, three hundred fifteen million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 109 113 127 148 185 218 226 254 296 370 436 452 508 545 565 635 740 872 904 1016 1090 1130 1270 1480 2180 2260 2540 4033 4181 4360 4520 4699 5080 8066 8362 9398 12317 13843 14351 16132 16724 18796 20165 20905 23495 24634 27686 28702 32264 33448 37592 40330 41810 46990 49268 55372 57404 61585 69215 71755 80660 83620 93980 98536 110744 114808 123170 138430 143510 161320 167240 187960 246340 276860 287020 455729 492680 512191 530987 553720 574040 911458 1024382 1061974 1564259 1822916 2048764 2123948 2278645 2560955 2654935 3128518 3645832 4097528 4247896 4557290 5121910 5309870 6257036 7821295 9114580 10243820 10619740 12514072 15642590 18229160 20487640 21239480 31285180 57877583 62570360 115755166 231510332 289387915 463020664 578775830 1157551660 2315103320