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13220112400 = 2452113119661
BaseRepresentation
bin11000100111111101…
…01110100000010000
31021010022222021220121
430103332232200100
5204033322044100
610023452520024
7645415046515
oct142376564020
937108867817
1013220112400
115674455130
12268b480014
131328b7b621
148d5aa530c
1552593051a
hex313fae810

13220112400 has 120 divisors (see below), whose sum is σ = 34763721408. Its totient is φ = 4791360000.

The previous prime is 13220112397. The next prime is 13220112413. The reversal of 13220112400 is 421102231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363570 + ... + 1373230.

Almost surely, 213220112400 is an apocalyptic number.

13220112400 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 13220112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381860704).

13220112400 is an abundant number, since it is smaller than the sum of its proper divisors (21543609008).

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

13220112400 is a wasteful number, since it uses less digits than its factorization.

13220112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13220112400 its reverse (421102231), we get a palindrome (13641214631).

The spelling of 13220112400 in words is "thirteen billion, two hundred twenty million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 311 400 440 550 622 880 1100 1244 1555 2200 2488 3110 3421 4400 4976 6220 6842 7775 9661 12440 13684 15550 17105 19322 24880 27368 31100 34210 38644 48305 54736 62200 68420 77288 85525 96610 106271 124400 136840 154576 171050 193220 212542 241525 273680 342100 386440 425084 483050 531355 684200 772880 850168 966100 1062710 1368400 1700336 1932200 2125420 2656775 3004571 3864400 4250840 5313550 6009142 8501680 10627100 12018284 15022855 21254200 24036568 30045710 33050281 42508400 48073136 60091420 66100562 75114275 120182840 132201124 150228550 165251405 240365680 264402248 300457100 330502810 528804496 600914200 661005620 826257025 1201828400 1322011240 1652514050 2644022480 3305028100 6610056200 13220112400