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112003000212 = 223191493798699
BaseRepresentation
bin110100001001111100…
…1100010011110010100
3101201002200101221010010
41220103321202132110
53313340232001322
6123241541000220
711043352536135
oct1502371423624
9351080357103
10112003000212
1143555856894
12198596b3070
13a73c484a2c
1455c721dc8c
152da7d9e20c
hex1a13e62794

112003000212 has 96 divisors (see below), whose sum is σ = 277704000000. Its totient is φ = 35035265664.

The previous prime is 112003000201. The next prime is 112003000229. The reversal of 112003000212 is 212000300211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12871039 + ... + 12879737.

It is an arithmetic number, because the mean of its divisors is an integer number (2892750000).

Almost surely, 2112003000212 is an apocalyptic number.

112003000212 is a gapful number since it is divisible by the number (12) 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 112003000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138852000000).

112003000212 is an abundant number, since it is smaller than the sum of its proper divisors (165700999788).

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

112003000212 is a wasteful number, since it uses less digits than its factorization.

112003000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112003000212 its reverse (212000300211), we get a palindrome (324003300423).

The spelling of 112003000212 in words is "one hundred twelve billion, three million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 149 228 298 379 447 596 758 894 1137 1516 1788 2274 2831 4548 5662 7201 8493 8699 11324 14402 16986 17398 21603 26097 28804 33972 34796 43206 52194 56471 86412 104388 112942 165281 169413 225884 330562 338826 495843 661124 677652 991686 1072949 1296151 1983372 2145898 2592302 3218847 3296921 3888453 4291796 5184604 6437694 6593842 7776906 9890763 12875388 13187684 15553812 19781526 24626869 39563052 49253738 62641499 73880607 98507476 125282998 147761214 187924497 250565996 295522428 375848994 491241229 751697988 982482458 1473723687 1964964916 2947447374 5894894748 9333583351 18667166702 28000750053 37334333404 56001500106 112003000212