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12130131103400 = 23521237208123561
BaseRepresentation
bin1011000010000100010000…
…1001111100111010101000
31120221121222200201002110202
42300201010021330322220
53042220002030302100
641444301051131332
72361241646104352
oct260410411747250
946847880632422
1012130131103400
1139573a5859952
12143aa98443b48
1369cb357a819b
142dd15c6540d2
151607ec52e7d5
hexb084427cea8

12130131103400 has 96 divisors (see below), whose sum is σ = 28240115876280. Its totient is φ = 4845594624000.

The previous prime is 12130131103397. The next prime is 12130131103403. The reversal of 12130131103400 is 430113103121.

It is an interprime number because it is at equal distance from previous prime (12130131103397) and next prime (12130131103403).

It can be written as a sum of positive squares in 12 ways, for example, as 339327220324 + 11790803883076 = 582518^2 + 3433774^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12130131103403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514827620 + ... + 514851180.

Almost surely, 212130131103400 is an apocalyptic number.

12130131103400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130131103400 is an abundant number, since it is smaller than the sum of its proper divisors (16109984772880).

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

12130131103400 is a wasteful number, since it uses less digits than its factorization.

12130131103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26895 (or 26886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12130131103400 its reverse (430113103121), we get a palindrome (12560244206521).

The spelling of 12130131103400 in words is "twelve trillion, one hundred thirty billion, one hundred thirty-one million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1237 2081 2474 4162 4948 6185 8324 9896 10405 12370 16648 20810 23561 24740 30925 41620 47122 49480 52025 61850 83240 94244 104050 117805 123700 188488 208100 235610 247400 416200 471220 589025 942440 1178050 2356100 2574197 4712200 5148394 10296788 12870985 20593576 25741970 29144957 49030441 51483940 58289914 64354925 98060882 102967880 116579828 128709850 145724785 196121764 233159656 245152205 257419700 291449570 392243528 490304410 514839400 582899140 728623925 980608820 1165798280 1225761025 1457247850 1961217640 2451522050 2914495700 4903044100 5828991400 9806088200 60650655517 121301311034 242602622068 303253277585 485205244136 606506555170 1213013110340 1516266387925 2426026220680 3032532775850 6065065551700 12130131103400