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101403131200 = 265279053851
BaseRepresentation
bin101111001110000011…
…0001111110101000000
3100200201221212210101221
41132130012033311000
53130133200144300
6114330045004424
710216602252010
oct1363406176500
9320657783357
10101403131200
113a006473368
121779b853714
1397404164a7
144c9d549c40
1529874ec31a
hex179c18fd40

101403131200 has 84 divisors (see below), whose sum is σ = 285160122592. Its totient is φ = 34766784000.

The previous prime is 101403131189. The next prime is 101403131209. The reversal of 101403131200 is 2131304101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101403131209) 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, 4515726 + ... + 4538125.

Almost surely, 2101403131200 is an apocalyptic number.

101403131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101403131200 is an abundant number, since it is smaller than the sum of its proper divisors (183756991392).

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

101403131200 is an equidigital number, since it uses as much as digits as its factorization.

101403131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053880 (or 9053865 counting only the distinct ones).

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

Adding to 101403131200 its reverse (2131304101), we get a palindrome (103534435301).

The spelling of 101403131200 in words is "one hundred one billion, four hundred three million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 9053851 18107702 36215404 45269255 63376957 72430808 90538510 126753914 144861616 181077020 226346275 253507828 289723232 316884785 362154040 452692550 507015656 579446464 633769570 724308080 905385100 1014031312 1267539140 1448616160 1584423925 1810770200 2028062624 2535078280 2897232320 3168847850 3621540400 4056125248 5070156560 6337695700 7243080800 10140313120 12675391400 14486161600 20280626240 25350782800 50701565600 101403131200