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112002011000 = 23531146721803
BaseRepresentation
bin110100001001111010…
…1110000111101111000
3101201002121112200011122
41220103311300331320
53313340003323000
6123241503444412
711043341246135
oct1502365607570
9351077480148
10112002011000
1143555240660
12198592b6708
13a73c1c96b9
1455c704358c
152da7c56085
hex1a13d70f78

112002011000 has 128 divisors (see below), whose sum is σ = 286535957760. Its totient is φ = 40638928000.

The previous prime is 112002010969. The next prime is 112002011003. The reversal of 112002011000 is 110200211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5126099 + ... + 5147901.

It is an arithmetic number, because the mean of its divisors is an integer number (2238562170).

Almost surely, 2112002011000 is an apocalyptic number.

112002011000 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 112002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143267978880).

112002011000 is an abundant number, since it is smaller than the sum of its proper divisors (174533946760).

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

112002011000 is a wasteful number, since it uses less digits than its factorization.

112002011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22302 (or 22288 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 112002011000 its reverse (110200211), we get a palindrome (112112211211).

The spelling of 112002011000 in words is "one hundred twelve billion, two million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 467 500 550 934 1000 1100 1375 1868 2200 2335 2750 3736 4670 5137 5500 9340 10274 11000 11675 18680 20548 21803 23350 25685 41096 43606 46700 51370 58375 87212 93400 102740 109015 116750 128425 174424 205480 218030 233500 239833 256850 436060 467000 479666 513700 545075 642125 872120 959332 1027400 1090150 1199165 1284250 1918664 2180300 2398330 2568500 2725375 4360600 4796660 5137000 5450750 5995825 9593320 10182001 10901500 11991650 20364002 21803000 23983300 29979125 40728004 47966600 50910005 59958250 81456008 101820010 112002011 119916500 203640020 224004022 239833000 254550025 407280040 448008044 509100050 560010055 896016088 1018200100 1120020110 1272750125 2036400200 2240040220 2545500250 2800050275 4480080440 5091000500 5600100550 10182001000 11200201100 14000251375 22400402200 28000502750 56001005500 112002011000