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131203400 = 23521076131
BaseRepresentation
bin1111101001000…
…00000101001000
3100010212211020012
413310200011020
5232042002100
621004051052
73152132126
oct764400510
9303784205
10131203400
1168074069
1237b33a88
132124a463
14135d4916
15b7ba135
hex7d20148

131203400 has 48 divisors (see below), whose sum is σ = 307949040. Its totient is φ = 51982400.

The previous prime is 131203381. The next prime is 131203451. The reversal of 131203400 is 4302131.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18335 + ... + 24465.

It is an arithmetic number, because the mean of its divisors is an integer number (6415605).

Almost surely, 2131203400 is an apocalyptic number.

131203400 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 131203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153974520).

131203400 is an abundant number, since it is smaller than the sum of its proper divisors (176745640).

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

131203400 is a wasteful number, since it uses less digits than its factorization.

131203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131203400 is about 11454.4052660974. The cubic root of 131203400 is about 508.1380264368.

Adding to 131203400 its reverse (4302131), we get a palindrome (135505531).

The spelling of 131203400 in words is "one hundred thirty-one million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 6131 10700 12262 21400 24524 30655 49048 61310 122620 153275 245240 306550 613100 656017 1226200 1312034 2624068 3280085 5248136 6560170 13120340 16400425 26240680 32800850 65601700 131203400