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113033201300 = 225231436113901
BaseRepresentation
bin110100101000101001…
…1011100011010010100
3101210202110220120022222
41221101103130122110
53322442444420200
6123532101441512
711111032233635
oct1512123343224
9353673816288
10113033201300
1143a34328148
1219aa6710298
13a874a37586
145683d8d88c
152e18548d85
hex1a514dc694

113033201300 has 144 divisors (see below), whose sum is σ = 263348811264. Its totient is φ = 42033600000.

The previous prime is 113033201293. The next prime is 113033201327. The reversal of 113033201300 is 3102330311.

It is a super-2 number, since 2×1130332013002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8124350 + ... + 8138250.

Almost surely, 2113033201300 is an apocalyptic number.

113033201300 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 113033201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131674405632).

113033201300 is an abundant number, since it is smaller than the sum of its proper divisors (150315609964).

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

113033201300 is a wasteful number, since it uses less digits than its factorization.

113033201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 113033201300 its reverse (3102330311), we get a palindrome (116135531611).

The spelling of 113033201300 in words is "one hundred thirteen billion, thirty-three million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 61 62 86 100 122 124 155 172 215 244 305 310 430 610 620 775 860 1075 1220 1333 1525 1550 1891 2150 2623 2666 3050 3100 3782 4300 5246 5332 6100 6665 7564 9455 10492 13115 13330 13901 18910 26230 26660 27802 33325 37820 47275 52460 55604 65575 66650 69505 81313 94550 131150 133300 139010 162626 189100 262300 278020 325252 347525 406565 430931 597743 695050 813130 847961 861862 1195486 1390100 1626260 1695922 1723724 2032825 2154655 2390972 2988715 3391844 4065650 4239805 4309310 5977430 8131300 8479610 8618620 10773275 11954860 14943575 16959220 18530033 21199025 21546550 26286791 29887150 36462323 37060066 42398050 43093100 52573582 59774300 72924646 74120132 84796100 92650165 105147164 131433955 145849292 182311615 185300330 262867910 364623230 370600660 463250825 525735820 657169775 729246460 911558075 926501650 1130332013 1314339550 1823116150 1853003300 2260664026 2628679100 3646232300 4521328052 5651660065 11303320130 22606640260 28258300325 56516600650 113033201300