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111010002000 = 24353157111777
BaseRepresentation
bin110011101100010110…
…1100011010001010000
3101121112110220101122120
41213120231203101100
53304322030031000
6122555225334240
711006634306462
oct1473055432120
9347473811576
10111010002000
1143096285607
1219621037380
13a611829821
1455313b6132
152d4ab026a0
hex19d8b63450

111010002000 has 160 divisors (see below), whose sum is σ = 358154469504. Its totient is φ = 29581312000.

The previous prime is 111010001983. The next prime is 111010002001. The reversal of 111010002000 is 200010111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111010002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111010002001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9420112 + ... + 9431888.

Almost surely, 2111010002000 is an apocalyptic number.

111010002000 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 111010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179077234752).

111010002000 is an abundant number, since it is smaller than the sum of its proper divisors (247144467504).

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

111010002000 is a wasteful number, since it uses less digits than its factorization.

111010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 111010002000 its reverse (200010111), we get a palindrome (111210012111).

The spelling of 111010002000 in words is "one hundred eleven billion, ten million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1571 2000 3000 3142 4713 6000 6284 7855 9426 11777 12568 15710 18852 23554 23565 25136 31420 35331 37704 39275 47108 47130 58885 62840 70662 75408 78550 94216 94260 117770 117825 125680 141324 157100 176655 188432 188520 196375 235540 235650 282648 294425 314200 353310 377040 392750 471080 471300 565296 588850 589125 628400 706620 785500 883275 942160 942600 1177700 1178250 1413240 1472125 1571000 1766550 1885200 2355400 2356500 2826480 2944250 3142000 3533100 4416375 4710800 4713000 5888500 7066200 8832750 9426000 11777000 14132400 17665500 18501667 23554000 35331000 37003334 55505001 70662000 74006668 92508335 111010002 148013336 185016670 222020004 277525005 296026672 370033340 444040008 462541675 555050010 740066680 888080016 925083350 1110100020 1387625025 1480133360 1850166700 2220200040 2312708375 2775250050 3700333400 4440400080 4625416750 5550500100 6938125125 7400666800 9250833500 11101000200 13876250250 18501667000 22202000400 27752500500 37003334000 55505001000 111010002000