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103141342100 = 22524436593533
BaseRepresentation
bin110000000001110110…
…0111111101110010100
3100212020002122001111102
41200003230333232110
53142213140421400
6115214340525232
710310636641166
oct1400354775624
9325202561442
10103141342100
113a8186649a5
1217ba59b0818
139959581154
144dc633a936
152a39dec9d5
hex1803b3fb94

103141342100 has 72 divisors (see below), whose sum is σ = 224725929120. Its totient is φ = 41089310080.

The previous prime is 103141342093. The next prime is 103141342151. The reversal of 103141342100 is 1243141301.

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

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 23 ways as a sum of consecutive naturals, for example, 29191934 + ... + 29195466.

It is an arithmetic number, because the mean of its divisors is an integer number (3121193460).

Almost surely, 2103141342100 is an apocalyptic number.

103141342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103141342100 is an abundant number, since it is smaller than the sum of its proper divisors (121584587020).

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

103141342100 is a wasteful number, since it uses less digits than its factorization.

103141342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103141342100 its reverse (1243141301), we get a palindrome (104384483401).

The spelling of 103141342100 in words is "one hundred three billion, one hundred forty-one million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 443 659 886 1318 1772 2215 2636 3295 3533 4430 6590 7066 8860 11075 13180 14132 16475 17665 22150 32950 35330 44300 65900 70660 88325 176650 291937 353300 583874 1167748 1459685 1565119 2328247 2919370 3130238 4656494 5838740 6260476 7298425 7825595 9312988 11641235 14596850 15651190 23282470 29193700 31302380 39127975 46564940 58206175 78255950 116412350 156511900 232824700 1031413421 2062826842 4125653684 5157067105 10314134210 20628268420 25785335525 51570671050 103141342100