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113121303200 = 25521915314861
BaseRepresentation
bin110100101011010001…
…1100001101010100000
3101210222121200121102022
41221112203201222200
53323133023200300
6123544530041012
711113152132533
oct1512643415240
9353877617368
10113121303200
1143a7a032434
1219b10119168
13a88a073589
145691964a1a
152e2114d285
hex1a568e1aa0

113121303200 has 144 divisors (see below), whose sum is σ = 290941691040. Its totient is φ = 42830208000.

The previous prime is 113121303199. The next prime is 113121303263. The reversal of 113121303200 is 2303121311.

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, 23268770 + ... + 23273630.

It is an arithmetic number, because the mean of its divisors is an integer number (2020428410).

Almost surely, 2113121303200 is an apocalyptic number.

113121303200 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 113121303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145470845520).

113121303200 is an abundant number, since it is smaller than the sum of its proper divisors (177820387840).

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

113121303200 is a wasteful number, since it uses less digits than its factorization.

113121303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 113121303200 its reverse (2303121311), we get a palindrome (115424424511).

The spelling of 113121303200 in words is "one hundred thirteen billion, one hundred twenty-one million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1531 1900 3040 3062 3800 4861 6124 7600 7655 9722 12248 15200 15310 19444 24305 24496 29089 30620 38275 38888 48610 48992 58178 61240 76550 77776 92359 97220 116356 121525 122480 145445 153100 155552 184718 194440 232712 243050 244960 290890 306200 369436 388880 461795 465424 486100 581780 612400 727225 738872 777760 923590 930848 972200 1163560 1224800 1454450 1477744 1847180 1944400 2308975 2327120 2908900 2955488 3694360 3888800 4617950 4654240 5817800 7388720 7442191 9235900 11635600 14777440 14884382 18471800 23271200 29768764 36943600 37210955 59537528 73887200 74421910 119075056 141401629 148843820 186054775 238150112 282803258 297687640 372109550 565606516 595375280 707008145 744219100 1131213032 1190750560 1414016290 1488438200 2262426064 2828032580 2976876400 3535040725 4524852128 5656065160 5953752800 7070081450 11312130320 14140162900 22624260640 28280325800 56560651600 113121303200