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13101312400 = 2452112977571
BaseRepresentation
bin11000011001110011…
…00010100110010000
31020211001102121221121
430030321202212100
5203312413444100
610004010332024
7642443214031
oct141471424620
936731377847
1013101312400
115613392a10
12265772a014
13130a384977
148c3dbca88
1551a2b551a
hex30ce62990

13101312400 has 60 divisors (see below), whose sum is σ = 34337360304. Its totient is φ = 4764112000.

The previous prime is 13101312377. The next prime is 13101312401. The reversal of 13101312400 is 421310131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13101312401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1484386 + ... + 1493185.

Almost surely, 213101312400 is an apocalyptic number.

13101312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101312400 is an abundant number, since it is smaller than the sum of its proper divisors (21236047904).

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

13101312400 is a wasteful number, since it uses less digits than its factorization.

13101312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977600 (or 2977589 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13101312400 its reverse (421310131), we get a palindrome (13522622531).

The spelling of 13101312400 in words is "thirteen billion, one hundred one million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 2977571 5955142 11910284 14887855 23820568 29775710 32753281 47641136 59551420 65506562 74439275 119102840 131013124 148878550 163766405 238205680 262026248 297757100 327532810 524052496 595514200 655065620 818832025 1191028400 1310131240 1637664050 2620262480 3275328100 6550656200 13101312400