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113351671400 = 235211118143627
BaseRepresentation
bin110100110010001001…
…0010011111001101000
3101211120200011112011212
41221210102103321220
53324121011441100
6124023435412252
711121650211122
oct1514422237150
9354520145155
10113351671400
1144088077480
1219b752b4088
13a8c5a01316
1456b43b0212
152e364a5635
hex1a64493e68

113351671400 has 96 divisors (see below), whose sum is σ = 287751091680. Its totient is φ = 41182944000.

The previous prime is 113351671369. The next prime is 113351671403. The reversal of 113351671400 is 4176153311.

It is not an unprimeable number, because it can be changed into a prime (113351671403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2576387 + ... + 2620013.

It is an arithmetic number, because the mean of its divisors is an integer number (2997407205).

Almost surely, 2113351671400 is an apocalyptic number.

113351671400 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 113351671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143875545840).

113351671400 is an abundant number, since it is smaller than the sum of its proper divisors (174399420280).

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

113351671400 is a wasteful number, since it uses less digits than its factorization.

113351671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44835 (or 44826 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 113351671400 in words is "one hundred thirteen billion, three hundred fifty-one million, six hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1181 2200 2362 4724 5905 9448 11810 12991 23620 25982 29525 43627 47240 51964 59050 64955 87254 103928 118100 129910 174508 218135 236200 259820 324775 349016 436270 479897 519640 649550 872540 959794 1090675 1299100 1745080 1919588 2181350 2399485 2598200 3839176 4362700 4798970 8725400 9597940 11997425 19195880 23994850 47989700 51523487 95979400 103046974 206093948 257617435 412187896 515234870 566758357 1030469740 1133516714 1288087175 2060939480 2267033428 2576174350 2833791785 4534066856 5152348700 5667583570 10304697400 11335167140 14168958925 22670334280 28337917850 56675835700 113351671400