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103524323420 = 225723244113171
BaseRepresentation
bin110000001101010000…
…1111101000001011100
3100220012210021112002202
41200122201331001130
53144004211322140
6115320341311032
710323300141620
oct1403241750134
9326183245082
10103524323420
113a9a4866491
1218092105478
1399baa1430b
145021151180
152a5d84d915
hex181a87d05c

103524323420 has 96 divisors (see below), whose sum is σ = 259386817536. Its totient is φ = 33934348800.

The previous prime is 103524323417. The next prime is 103524323423. The reversal of 103524323420 is 24323425301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103524323417) and next prime (103524323423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103524323423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7853435 + ... + 7866605.

It is an arithmetic number, because the mean of its divisors is an integer number (2701946016).

Almost surely, 2103524323420 is an apocalyptic number.

103524323420 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 103524323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129693408768).

103524323420 is an abundant number, since it is smaller than the sum of its proper divisors (155862494116).

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

103524323420 is a wasteful number, since it uses less digits than its factorization.

103524323420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15651 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 103524323420 its reverse (24323425301), we get a palindrome (127847748721).

The spelling of 103524323420 in words is "one hundred three billion, five hundred twenty-four million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 2441 3220 4882 9764 12205 13171 17087 24410 26342 34174 48820 52684 56143 65855 68348 85435 92197 112286 131710 170870 184394 224572 263420 280715 302933 341740 368788 393001 460985 561430 605866 786002 921970 1122860 1211732 1514665 1572004 1843940 1965005 2120531 3029330 3930010 4241062 6058660 7860020 8482124 10602655 21205310 32150411 42410620 64300822 128601644 160752055 225052877 321504110 450105754 643008220 739459453 900211508 1125264385 1478918906 2250528770 2957837812 3697297265 4501057540 5176216171 7394594530 10352432342 14789189060 20704864684 25881080855 51762161710 103524323420