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112001112300 = 223527114848533
BaseRepresentation
bin110100001001111001…
…0010101100011101100
3101201002112212000101110
41220103302111203230
53313334241043200
6123241432312020
711043330514050
oct1502362254354
9351075760343
10112001112300
1143554787430
1219858b42610
13a73bc7361c
1455c6c8bc60
152da7b29b50
hex1a13c958ec

112001112300 has 144 divisors (see below), whose sum is σ = 404018641152. Its totient is φ = 23272953600.

The previous prime is 112001112263. The next prime is 112001112337. The reversal of 112001112300 is 3211100211.

It is an interprime number because it is at equal distance from previous prime (112001112263) and next prime (112001112337).

It is a super-2 number, since 2×1120011123002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2401167 + ... + 2447366.

It is an arithmetic number, because the mean of its divisors is an integer number (2805685008).

Almost surely, 2112001112300 is an apocalyptic number.

112001112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001112300 is an abundant number, since it is smaller than the sum of its proper divisors (292017528852).

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

112001112300 is a wasteful number, since it uses less digits than its factorization.

112001112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848568 (or 4848561 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112001112300 its reverse (3211100211), we get a palindrome (115212212511).

It can be divided in two parts, 1120011 and 12300, that added together give a palindrome (1132311).

The spelling of 112001112300 in words is "one hundred twelve billion, one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 4848533 9697066 14545599 19394132 24242665 29091198 33939731 48485330 53333863 58182396 67879462 72727995 96970660 101819193 106667726 121213325 135758924 145455990 160001589 169698655 203638386 213335452 242426650 266669315 290911980 320003178 339397310 363639975 373337041 407276772 484853300 509095965 533338630 640006356 678794620 727279950 746674082 800007945 848493275 1018191930 1066677260 1120011123 1333346575 1454559900 1493348164 1600015890 1696986550 1866685205 2036383860 2240022246 2545479825 2666693150 3200031780 3393973100 3733370410 4000039725 4480044492 5090959650 5333386300 5600055615 7466740820 8000079450 9333426025 10181919300 11200111230 16000158900 18666852050 22400222460 28000278075 37333704100 56000556150 112001112300