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112347337920 = 2635242348299
BaseRepresentation
bin110100010100001101…
…1000101010011000000
3101201222200100002122120
41220220123011103000
53320041404303140
6123340041204240
711055033421146
oct1505033052300
9351880302576
10112347337920
1143712163904
1219934a90680
13a79590785c
14561ac55596
152dc821a1d0
hex1a286c54c0

112347337920 has 112 divisors (see below), whose sum is σ = 356857401600. Its totient is φ = 29946305536.

The previous prime is 112347337909. The next prime is 112347337931. The reversal of 112347337920 is 29733743211.

It is an interprime number because it is at equal distance from previous prime (112347337909) and next prime (112347337931).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301931 + ... + 2350229.

It is an arithmetic number, because the mean of its divisors is an integer number (3186226800).

Almost surely, 2112347337920 is an apocalyptic number.

112347337920 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 112347337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178428700800).

112347337920 is an abundant number, since it is smaller than the sum of its proper divisors (244510063680).

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

112347337920 is a wasteful number, since it uses less digits than its factorization.

112347337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50742 (or 50732 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 112347337920 in words is "one hundred twelve billion, three hundred forty-seven million, three hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2423 4846 7269 9692 12115 14538 19384 24230 29076 36345 38768 48299 48460 58152 72690 77536 96598 96920 116304 144897 145380 155072 193196 193840 232608 241495 289794 290760 386392 387680 465216 482990 579588 581520 724485 772784 775360 965980 1159176 1163040 1448970 1545568 1931960 2318352 2326080 2897940 3091136 3863920 4636704 5795880 7727840 9273408 11591760 15455680 23183520 46367040 117028477 234056954 351085431 468113908 585142385 702170862 936227816 1170284770 1404341724 1755427155 1872455632 2340569540 2808683448 3510854310 3744911264 4681139080 5617366896 7021708620 7489822528 9362278160 11234733792 14043417240 18724556320 22469467584 28086834480 37449112640 56173668960 112347337920