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103121230100 = 22527221045149
BaseRepresentation
bin110000000001010000…
…0010001100100010100
3100212011200210021000112
41200002200101210110
53142143013330400
6115212341502152
710310303664500
oct1400240214424
9325150707015
10103121230100
113a808278509
1217b9b111958
13995535ba65
144dc37c3300
152a38278835
hex1802811914

103121230100 has 54 divisors (see below), whose sum is σ = 260307460350. Its totient is φ = 35355848640.

The previous prime is 103121230049. The next prime is 103121230103. The reversal of 103121230100 is 1032121301.

It can be written as a sum of positive squares in 3 ways, for example, as 1107425284 + 102013804816 = 33278^2 + 319396^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121230103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10517675 + ... + 10527474.

It is an arithmetic number, because the mean of its divisors is an integer number (4820508525).

Almost surely, 2103121230100 is an apocalyptic number.

103121230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103121230100 is an abundant number, since it is smaller than the sum of its proper divisors (157186230250).

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

103121230100 is a wasteful number, since it uses less digits than its factorization.

103121230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21045177 (or 21045163 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103121230100 its reverse (1032121301), we get a palindrome (104153351401).

The spelling of 103121230100 in words is "one hundred three billion, one hundred twenty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 21045149 42090298 84180596 105225745 147316043 210451490 294632086 420902980 526128725 589264172 736580215 1031212301 1052257450 1473160430 2062424602 2104514900 2946320860 3682901075 4124849204 5156061505 7365802150 10312123010 14731604300 20624246020 25780307525 51560615050 103121230100