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112000020210 = 232513412334793
BaseRepresentation
bin110100001001110111…
…0001010111011110010
3101201002110210112022200
41220103232022323302
53313334001121320
6123241353044030
711043315315111
oct1502356127362
9351073715280
10112000020210
1143554100981
12198586b6616
13a73b980510
1455c6a85c78
152da79b1290
hex1a13b8aef2

112000020210 has 96 divisors (see below), whose sum is σ = 321248976048. Its totient is φ = 26896803840.

The previous prime is 112000020203. The next prime is 112000020217. The reversal of 112000020210 is 12020000211.

It is an interprime number because it is at equal distance from previous prime (112000020203) and next prime (112000020217).

It can be written as a sum of positive squares in 8 ways, for example, as 38644089561 + 73355930649 = 196581^2 + 270843^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112000020192 and 112000020201.

It is not an unprimeable number, because it can be changed into a prime (112000020217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1119427 + ... + 1215366.

Almost surely, 2112000020210 is an apocalyptic number.

112000020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112000020210 is an abundant number, since it is smaller than the sum of its proper divisors (209248955838).

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

112000020210 is a wasteful number, since it uses less digits than its factorization.

112000020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334860 (or 2334857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112000020210 its reverse (12020000211), we get a palindrome (124020020421).

The spelling of 112000020210 in words is "one hundred twelve billion, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1845 2665 3198 3690 4797 5330 7995 9594 15990 23985 47970 2334793 4669586 7004379 11673965 14008758 21013137 23347930 30352309 35021895 42026274 60704618 70043790 91056927 95726513 105065685 151761545 182113854 191453026 210131370 273170781 287179539 303523090 455284635 478632565 546341562 574359078 861538617 910569270 957265130 1244444669 1365853905 1435897695 1723077234 2488889338 2731707810 2871795390 3733334007 4307693085 6222223345 7466668014 8615386170 11200002021 12444446690 18666670035 22400004042 37333340070 56000010105 112000020210